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Variable-coefficient equations can be used to describe certain phenomena when the inhomogeneous media and nonuniform boundaries are taken into consideration. It is meaningful to solve the exact solution of variable-coefficient equations. In this paper, a (2+1)-dimensional variable-coefficient Boussinesq equation is investigated. The integrability is firstly examined by the Painlevé analysis method. Secondly, the Bäcklund transformations, one- and two-soliton solutions of the (2+1)-dimensional variable-coefficient Boussinesq equation are studied by virtue of the Hirota bilinear method. Propagation characteristics and interaction behaviors of the solitons are discussed: (i) soliton shapes and interaction behaviors are affected by the variable coefficients, and (ii) the two-soliton interaction is elastic, and the shape and velocity does not change after the collision, and only the shift changes. [ABSTRACT FROM AUTHOR]

Variable-coefficient equations can be used to describe certain phenomena when inhomogeneous media and nonuniform boundaries are taken into consideration. Describing the fluid dynamics of shallow-water wave in an open ocean, a (2 + 1)-dimensional generalized variable-coefficient Hirota–Satsuma–Ito equation is investigated in this paper. The integrability is first examined by the Painlevé analysis method. Secondly, the one-soliton and two-soliton solutions and lump solutions of the (2 + 1)-dimensional generalized variable-coefficient Hirota–Satsuma–Ito equations are derived by virtue of the Hirota bilinear method. In the exact solutions, parameter values and variable-coefficient functions are chosen and analyzed for different effects on the shallow-water waves. [ABSTRACT FROM AUTHOR]

The Wronskian solutions to the B-type Kadomtsev–Petviashvili (BKP) equation are discussed based on the Plücker relation. Rational solutions, positon solutions, negaton solutions, and complexiton solutions to the BKP equation are directly constructed. The Wronskian formulation is employed to generate rational solutions in the form of determinants. A polynomial identity is demonstrated that an arbitrary linear combination of two Wronskian polynomial solutions of different orders is again a solution to the bilinear BKP equation. The validity of the linear superposition principle can be inferred for two Wronskian rational solutions to certain equations under specific conditions. [ABSTRACT FROM AUTHOR]

Resonant phenomena have been observed and investigated in various situations, such as plasma experiments, the maritime security and the microtubule in cell physiology. In this paper, abundant resonant behaviors are studied for the (3+1)-dimensional BKP-Boussinesq equation. We mainly discuss the resonant two- and three-soliton solutions in the (x, y)-plane and (x, z)-plane. The characteristics are given for the kink soliton waves, including expressions, maximums, minimums and velocities. The kink soliton waves in the (x, y)-plane are parallel, and the fusion or fission may occur. The kink soliton waves in the (x, z)-plane are not parallel and the resonant phenomena among them are more complicated. [ABSTRACT FROM AUTHOR]

In this paper, we focus on the dynamical behavior and modulation instability of optical solitons with spatio-temporal dispersion for the variable-coefficient nonlinear Schrödinger equation. The expressions of one-soliton solutions are derived, and the dynamical behaviors of one-soliton are studied by selecting the appropriate coefficient functions. Some interesting motion trajectories of solitons under the influence of variable-coefficient functions are revealed. In addition, the distribution of modulation instability (MI) gain versus the power, time and wave number is studied based on the linear stability analysis. The effect of the spatio-temporal dispersion on soliton transmission and gain is characterized. The obtained results are visualized in the 3D space by MATLAB or MAPLE. The results obtained in this paper provide a significant contribution to the formation of optical solitons in nonlinear optical fiber systems or other physical problems. • Based on variable-coefficient nonlinear Schrödinger equation, the dynamical behavior and modulation instability of optical solitons with spatio-temporal dispersion is investigated. • Based on the linear stability analysis, the distribution of modulation instability gain is studied. • The effect of the spatio-temporal dispersion on soliton transmission and gain is characterized, which paves the way for the study of optical spatio-temporal system. [ABSTRACT FROM AUTHOR]

Abundant real-time vehicle trajectory information provides an important guarantee for the driving safety and drivers' decision-making in the intelligent transportation system (ITS), which improves the transport efficiency of traffic flow at the micro level. In this paper, we propose an adaptive car-following model to study the influence of the preceding vehicles' information on the motion state of the target and the kinetic characteristics of traffic flow in the ITS, where the space headway, the velocity difference and the acceleration of preceding vehicles are considered simultaneously. According to the generalized diagram structure of road traffic, we mainly consider the two vehicles ahead and introduce adaptive parameters to control the proportion of different influencing factors. The rationality of the extended model is verified via real-world vehicle trajectory fitting experiments with the collected empirical data. Theoretical derivations are then carried out to describe the evolution of traffic flow under different scenarios, where the linear stability conditions and nonlinear analysis on small disturbance are included. Numerical tests are made to simulate the driving conditions and verify the accuracy of theoretical results. Computing the engine power of vehicles, we summarize the impact of traffic congestions and stop-and-go behaviors on the energy consumption. Diverse micro motion states and traffic flow dynamics can be revealed based on our car-following model, which will serve as both theoretical basis and experimental examples for the real-world traffic. [ABSTRACT FROM AUTHOR]

Based on the prime number p = 3 , a generalized (3+1)-dimensional Kadomtsev-Petviashvili (KP)-type equation is proposed, where the bilinear operators are redefined through introducing some prime number. Computerized symbolic computation provides a powerful tool to solve the generalized (3+1)-dimensional KP-type equation, and some exact solutions are obtained including lump-type solution and interaction solution. With numerical simulation, three-dimensional plots, density plots, and two-dimensional curves are given for particular choices of the involved parameters in the solutions to show the evolutionary characteristics. [ABSTRACT FROM AUTHOR]

Based on the binary time series data of social infection dynamics, we propose a general framework to reconstruct the 2-simplicial complexes with two-body and three-body interactions by combining the maximum likelihood estimation in statistical inference and introducing the expectation maximization. In order to improve the code running efficiency, the whole algorithm adopts vectorization expressions. Through the inference of maximum likelihood estimation, the vectorization expression of the edge existence probability can be obtained, and through the probability matrix, the adjacency matrix of the network can be estimated. The framework has been tested on different types of complex networks. Among them, four kinds of networks achieve high reconstruction effectiveness. Finally, we analyze which type of network is more suitable for this framework, and propose methods to improve the effectiveness of the experimental results. Complex networks are presented in the form of simplicial complexes. In this paper, focusing on the differences in the effectiveness of simplicial complexes reconstruction after the same number of iterations, we innovatively propose that simplex reconstruction based on maximum likelihood estimation is more suitable for small-world networks and three indicators to judge the structural similarity between a network and a small-world network are given. The closer the network structure to the small-world network is, the higher efficiency in a shorter time can be obtained. • The vectorization expression is introduced to increase the coding efficiency. • Focusing on the gap in the effectiveness of reconstruction under the same factor. • Proposing that the network reconstruction is more suitable for small-world networks. • Three indicators to judge the proximity of the network structure to the small-world network. • Methods for constructing small-world network data. [ABSTRACT FROM AUTHOR]

With symbolic computation, we study two dimensionally reduced nonlinear equations, which are cast into bilinear forms firstly. The interaction solutions between lump and soliton are computed, respectively, for these two equations. Hereby, we assume the solution to the bilinear equation consisting of a sum of two squares functions and a cosh function. With limitation analysis and graphical illustrations, the interaction process is simulated based on the expressions of the interaction solutions. We find the lump interacts with the soliton, and moves from the one hump (e.g. the left or the right hump) of the soliton to the other one (the right or the left hump). [ABSTRACT FROM AUTHOR]

With the generalized bilinear operators based on a prime number p = 3 , a Hirota-Satsuma-like equation is proposed. Rational solutions are generated and graphically described by using symbolic computation software Maple. [ABSTRACT FROM AUTHOR]

Associated with the prime number p = 3 , the generalized bilinear operators are adopted to yield an extended Kadomtsev-Petviashvili-like (eKP-like) equation. With symbolic computation, eighteen classes of rational solutions to the resulting eKP-like equation are generated from a search for polynomial solutions to the corresponding generalized bilinear equation. [ABSTRACT FROM AUTHOR]

We directly construct a bilinear Bäcklund transformation (BT) of a (2+1)-dimensional Korteweg–de Vries-like model. The construction is based on a so-called quadrilinear representation. The resulting bilinear BT is in accordance with the auxiliary-independent-variable-involved one derived with the Bell-polynomial scheme. Moreover, by applying the gauge transformation and the Hirota perturbation technique, multisoliton solutions are iteratively computed. [ABSTRACT FROM AUTHOR]

With symbolic computation, Bell-polynomial scheme and bilinear method are applied to a two-dimensional Korteweg–de Vries (KdV) model, which is firstly proposed with Lax pair generating technique. Bell-polynomial expression with one auxiliary independent variable is derived and transformed into bilinear form. According to the coupled two-field conditions between the primary and replica fields, Bell-polynomial-typed Bäcklund transformations (BTs) are constructed and converted into the bilinear ones. Finally, soliton solutions of the two-dimensional KdV model are obtained (via solving the bilinear representation and BT, respectively) and compared. Such associated integrable properties as bilinear representation, BT (especially auxiliary-independent-variable-involved Bell-polynomial-typed ones constructed in this paper) and soliton solutions (especially the multi-soliton ones) may be useful for further study on other two-dimensional KdV and KdV-typed models. [ABSTRACT FROM AUTHOR]

Abstract: The occurrence and counts of Listeria monocytogenes were investigated in a total of 526 retail raw food samples. All L. monocytogenes isolates were further analyzed by serotyping and antimicrobial susceptibility assays. The molecular basis of tetracycline resistance of each isolate and the genetic relatedness were determined. L. monocytogenes isolates were found in 12.4% (65/526) of the samples, with counts below 102 CFU/g. L. monocytogenes was most commonly isolated from pork (20%, 20/100), seafood (13.8%, 15/109), chicken (13.2%, 14/106), and beef (10.3%, 11/107). In addition, L. monocytogenes was also detected in 4.8% (5/104) of raw mutton samples. Four serogroups were identified among the 65 L. monocytogenes isolates, with serogroups 1/2a-3a (60%) and 4b-4d-4e (24.6%) being dominant. Most L. monocytogenes isolates were resistant to cefotaxime (54.6%), fosfomycin (51.5%), and clarithromycin (36.4%). Some isolates showed intermediate resistance to streptomycin (12.1%), norfloxacin (13.6%), ciprofloxacin (13.6%), and nitrofurantoin (9.1%). Multiple resistances were observed in 72.3% of isolates. Genetic relatedness analysis revealed that there were no prominent associations between specific food types, serotypes, antimicrobial susceptibility profiles and Pulsed-field gel electrophoresis (PFGE) patterns. In addition, these isolates were multiresistant and belonged to the epidemiologically important serotypes 1/2a and 4b, implying a potential public health risk. [Copyright &y& Elsevier]

Abstract: A coherently-coupled nonlinear Schrödinger system in the optical fiber communications, with the mixed self-phase modulation (SPM), cross-phase modulation (XPM) and positive coherent coupling terms, is studied through the bilinear method with an auxiliary function. Solutions for that system are found to be of two types: singular and non-singular ones, and the latter appear as the soliton-typed. Vector bright one- and two-solitons are derived with the corresponding phase-shift parameter constraints. In virtue of computerized symbolic computation and asymptotic behavior analysis, elastic collision mechanisms of such vector solitons are investigated. With the aid of graphical simulation, vector solitons are displayed to be of the single- or double-hump profiles. The formation and collision mechanisms of the vector bright solitons for that system are generated based on the combined effects of SPM, XPM and coherent coupling. Only elastic collisions of the vector solitons occur for that system, which is a distinctive feature amid those of other coherently-coupled nonlinear Schrödinger systems. [Copyright &y& Elsevier]

Abstract: The Korteweg–de Vries (KdV)-type models are of significance in describing many physical situations in fluid flows (particularly for surface and internal waves), plasma physics, and solid state physics. In fluid dynamics, for example, the shallow water wave equation is utilized as a mathematical description of regular and generalized solitary waves in shallow water. Further, higher-order dispersive (e.g., the Lax fifth-order KdV equation) and higher-dimensional [e.g., the (2+1)- and (3+1)-dimensional breaking soliton equations] generalized nonlinear models are useful in analyzing and obtaining modulation theory, existence and stability of solitary waves, bores, and shocks, as well as other integrable properties. With symbolic computation, Bell-polynomial-typed Bäcklund transformations (BTs) are constructed for some single-field bilinearizable nonlinear evolution equations including the shallow water wave equation, Lax fifth-order KdV equation, and (2+1)- and (3+1)-dimensional breaking soliton equations. Bell-polynomial expressions are derived, which can be cast into the bilinear equations with one Tau-function. Key point lies in the introduction of certain auxiliary independent variable in the Bell-polynomial expression. With one auxiliary independent variable, the Bell-polynomial-typed BTs are then constructed according to the coupled two-field conditions between the primary and replica fields with both the fields satisfying the Bell-polynomial-expression equations. Auxiliary-independent-variable-involved Bell-polynomial-typed BTs are changed into their bilinear forms. Aforementioned equations turn out to be integrable in the sense of possessing the Bell-polynomial-typed BTs. [Copyright &y& Elsevier]

Gardner model describes certain nonlinear elastic structures, ion-acoustic waves in plasmas, and shear flows in ocean and atmosphere. In this paper, by virtue of the computerized symbolic computation, the integrability of a generalized (2+1)-dimensional variable-coefficient Gardner model is investigated. Painlevé integrability conditions are derived among the coefficient functions, which reduce all the coefficient functions to be proportional only to γ(t), the coefficient of the cubic nonlinear term u2ux. Then, an independent transformation of the variable t transforms the reduced γ(t)-dependent equation into a constant-coefficient integrable one. Painlevé test shows that this is the only case when our original generalized (2+1)-dimensional variable-coefficient Gardner model is integrable. [ABSTRACT FROM AUTHOR]

In the framework of Bell-polynomial manipulations, under investigation hereby are three single-field bilinearizable equations: the (1+1)-dimensional shallow water wave model, Boiti-Leon-Manna-Pempinelli model, and (2+1)-dimensional Sawada-Kotera model. Based on the concept of scale invariance, a direct and unifying Bell-polynomial scheme is employed to achieve the Bäcklund transformations and Lax pairs associated with those three soliton equations. Note that the Bell-polynomial expressions and Bell-polynomial-typed Bäcklund transformations for those three soliton equations can be, respectively, cast into the bilinear equations and bilinear Bäcklund transformations with symbolic computation. Consequently, it is also shown that the Bell-polynomial-typed Bäcklund transformations can be linearized into the corresponding Lax pairs. [ABSTRACT FROM AUTHOR]

Abstract: With the hetero-binuclear Zn–Nd complex from the ethylene- or phenylene-linkered Salen-type Schiff-base ligand as the building block, further self-assembly of the unsymmetrical exo-dentate IN− (IN− =isonicotinic) anion gave a 2D layer polymeric [ZnL1Nd(IN)(NO3)2] n (1) (H2L1 = N,N′-bis(3-methoxy-salicylidene)ethylene-1,2-diamine) or a discrete binuclear [ZnL2Nd(IN)(NO3)2(DMF] (2) (H2L2 =N,N′-bis(3-methoxy-salicylidene)phenylene-1,2-diamine) complex, respectively. The change of linker flexibility of two Salen-type Schiff-base ligands (H2L1 and H2L2 ) resulted in the difference of structures and NIR luminescent properties of their mixed-ligands complexes. [Copyright &y& Elsevier]

Abstract: Two new near-infrared (NIR) luminescent Zn–Nd complexes [ZnL1Nd(OAc)(NO3)2] (3) and [ZnL2Nd(DMF)2(NO3)3] (4) have been obtained with two salen-type Schiff-base ligands H2L1 and H2L2 , (H2L1 = N,N′-bis(3-methoxysalicylidene)-(1s, 2s)-(−)1,2-dipheneylethylenediamine and H2L2 = N,N′-bis(3-methoxysalicylidene)-(s)-2,2-diamine-1,1′-binaphthyl) from the reaction of different chiral diamines with o-vanillin. The X-ray crystal structure analysis reveals that both of them crystallize in the chiral space groups with P2(1), a =10.1669(6), b =19.3775(11), c =17.4639(10)Å, β =94.8710(10)°, V =3428.1(3)Å3, Z =4 for 3, and C2, a =22.1914(13), b =9.7886(6), c =22.0138(13)Å, β =118.9590(10)°, V =4372.5(4)Å3, Z =4 for 4. Complexes 3–4 are both dinuclear Zn–Nd structures, while suitable choice of chiral Schiff-base ligands could induce the different complexions of ligands and metal ions, and the functional control of ligand character shows a potentially effective way to the fine-tuning properties of NIR luminescence from Nd ions. [Copyright &y& Elsevier]

Abstract: Three solvent-induced pseudo-polymorphic bimetallic Zn–Nd complexes [ZnNdL(OAc)(NO3)2(DMF)]·solvate (solvate: MeCN (1), THF (2), EtOH (3); H2L = N,N′-bis(3-methoxy-salicylidene)phenylene-1,2-diamine) were obtained, and their solid NIR luminescence related to the packing structure from the intermolecular π–π interactions was discussed. [Copyright &y& Elsevier]

Abstract: Under investigation in this paper is a nonlinear Schrödinger equation with an arbitrary linear time-dependent potential, which governs the soliton dynamics in quasi-one-dimensional Bose–Einstein condensates (quasi-1DBECs). With Painlevé analysis method performed to this model, its integrability is firstly examined. Then, the distinct treatments based on the truncated Painlevé expansion, respectively, give the bilinear form and the Painlevé–Bäcklund transformation with a family of new exact solutions. Furthermore, via the computerized symbolic computation, a direct method is employed to easily and directly derive the exact analytical dark- and bright-solitonic solutions. At last, of physical and experimental interests, these solutions are graphically discussed so as to better understand the soliton dynamics in quasi-1DBECs. [Copyright &y& Elsevier]

Abstract: In this paper, the multisoliton solutions in terms of double Wronskian determinant are presented for a generalized variable-coefficient nonlinear Schrödinger equation, which appears in space and laboratory plasmas, arterial mechanics, fluid dynamics, optical communications and so on. By means of the particularly nice properties of Wronskian determinant, the solutions are testified through direct substitution into the bilinear equations. Furthermore, it can be proved that the bilinear Bäcklund transformation transforms between (N −1)- and N-soliton solutions. [Copyright &y& Elsevier]

Abstract: Under investigation in this paper is a generalized nonlinear Schrödinger model with variable dispersion, nonlinearity and gain/loss, which could describe the propagation of optical pulse in inhomogeneous fiber systems. By employing the Hirota method, one- and two-soliton solutions are obtained with the aid of symbolic computation. Furthermore, a general formula which denotes multi-soliton solutions is given. Some main properties of the solutions are discussed simultaneously. As one important property of nonlinear evolution equation, the Bäcklund transformation in bilinear form is also constructed, which is helpful on future research and as far as we know is firstly proposed in this paper. [Copyright &y& Elsevier]

Abstract: Copper complexes [Cu(L n )2] 1–4 bearing N,O-chelating β-ketoamine ligands L n based on condensation products of 1-phenyl-3-methyl-4-benzoyl-5-pyrazolone with aniline (L 1), α-naphthylamine (L 2), o-methylaniline (L 3), and p-nitroaniline (L 4), respectively, were synthesized and characterized by IR, 1H NMR and X-ray crystallography (except 2). They were shown to catalyze the vinyl polymerization of norbornene when activated by methylaluminoxane (MAO). Both steric and electronic effects are important and influential factors contributing to the catalytic activity of the complexes with the order of 2 > 4 > 3 > 1. [Copyright &y& Elsevier]

Abstract: This article investigates the basic combustion parameters including start of the ignition timing, burn duration, cycle-to-cycle variation, and carbon monoxide (CO), unburned hydrocarbon (UHC), and nitric oxide (NO x ) emissions of homogeneous charge compression ignition (HCCI) engines fueled with primary reference fuels (PRFs) and their mixtures. Two primary reference fuels, n-heptane and iso-octane, and their blends with RON25, RON50, RON75, and RON90 were evaluated. The experimental results show that, in the first-stage combustion, the start of ignition retards, the maximum heat release rate decreases, and the pressure rising and the temperature rising during the first-stage combustion decrease with the increase of the research octane number (RON). Furthermore, the cumulative heat release in the first-stage combustion is strongly dependent on the concentration of n-heptane in the mixture. The start of ignition of the second-stage combustion is linear with the start of ignition of the first-stage. The combustion duration of the second-stage combustion decreases with the increase of the equivalence ration and the decrease of the octane number. The cycle-to-cycle variation improved with the decrease of the octane number. [Copyright &y& Elsevier]

Abstract: In Part 1, the effects of octane number of primary reference fuels and equivalence ration on combustion characteristics of a single-cylinder HCCI engine were studied. In this part, the influence of exhaust gas recirculation (EGR) rate, intake charge temperature, coolant temperature, and engine speed on the HCCI combustion characteristics and its emissions were evaluated. The experimental results indicate that the ignition timing of the first-stage combustion and second-stage combustion retard, and the combustion duration prolongs with the introduction of cooled EGR. At the same time, the HCCI combustion using high cetane number fuels can tolerate with a higher EGR rate, but only 45% EGR rate for RON75 at 1800rpm. Furthermore, there is a moderate effect of EGR rate on CO and UHC emissions for HCCI combustion engines fueled with n-heptane and RON25, but a distinct effect on emissions for higher octane number fuels. Moreover, the combustion phase advances, and the combustion duration shorten with the increase of intake charge temperature and the coolant out temperature, and the decrease of the engine speed. At last, it can be found that the intake charge temperature gives the most sensitive influence on the HCCI combustion characteristics. [Copyright &y& Elsevier]

Abstract: Two 1D organic–inorganic coordination polymers, [Cd(3-pmpmd)(CH3CN)2(H2O)2]n·2n(ClO4)2 (1) and [Zn(3-pmpmd)1.5(H2O)2]n·2n(ClO4)2·nCH3CN (2), were obtained from M(ClO4)2 (M=Cd, Zn) and the semi-flexible 3,3′-N-donor bis-pyridyl ligand 3-pmpmd: 1 has an 1D zigzag framework with 3-pmpmd in the ZT-mode (anti, trans-) conformation, while 2 has an 1D rod and loop network with 3-pmpmd in both ZT- and ZC-mode (anti, cis-) conformations. Results showed that the metal ions could influence the coordination mode of a semi-flexible bis-pyridyl ligand. [Copyright &y& Elsevier]

Abstract: The thermodynamic properties of system (HCl+NaCl+C6H12O6+H2O) were studied by e.m.f. measurement in the cells without liquid junction: At constant total ionic strength (0.5, 1.0, 1.5, and 2.0) mol·kg−1, from (5 to 45) °C, where mA and mB are the molalities of HCl and NaCl, respectively, and w is the mass fraction of fructose in the mixed solvent, which is w=0.1 during all the measurements. The standard electrode potential of in the pure water and mixed solvent has been determined from cells (A) and (B). The activity coefficients lgγA of HCl in the mixed solvent system have been determined from cell (C).The results show that the activity coefficients of HCl in (HCl+NaCl) solutions still obey Harned’s Rule. The standard transfer Gibbs free energies, entropy and enthalpy of HCl have been calculated. The primary, secondary and total medium effect of HCl have been calculated and discussed. [Copyright &y& Elsevier]

Affective computing is an important foundation for implementing brain-like computing and advanced machine intelligence. However, the instantaneous and memory fusion input characteristic makes current neural networks not suitable for affective computing. In this paper, we propose an affective computing oriented memory level neural network. A "switch" has been added to the memory level neurons, which will achieve a transition from the instantaneous input to the memory input when the temporal integration of inputs above a certain threshold. Then, the "switch" is continualized by an adjustable sigmoid function whose parameters are tuned to adjust the speed of the transition and the mixing ratio of the two inputs. Multiple memory level neurons form a deep time-varying neural network capable of handling fusional inputs. We demonstrate on both process datasets and static datasets that the memory level neural network successfully converges on both datasets and meets the error accuracy requirements. [ABSTRACT FROM AUTHOR]

Under investigation in this paper is the dynamics of dispersive optical solitons modeled via the Schrödinger–Hirota equation. The modulation instability of solutions is firstly studied in the presence of a small perturbation. With symbolic computation, the one-, two-, and three-soliton solutions are obtained through the Hirota bilinear method. The propagation and interaction of the solitons are simulated, and it is found the collision is elastic and the solitons enjoy the particle-like interaction properties. In the end, the asymptotic behavior is analyzed for the three-soliton solutions. [ABSTRACT FROM AUTHOR]

We focus on the localized characteristics of lump and interaction solutions to two extended Jimbo–Miwa equations. Based on the Hirota bilinear method and the test function method, we construct the exact solutions to the extended equations including lump solutions, lump–kink solutions, and two other types of interaction solutions, by solving the under-determined nonlinear system of algebraic equations for associated parameters. Finally, analysis and graphical simulation are presented to show the dynamical characteristics of our solutions and the interaction behaviors are revealed. [ABSTRACT FROM AUTHOR]

The crystal structure of the title compound, C24H21N3O2, features a central pyrazole ring; the NH unit interacts with the C=O unit through an intramolecular hydrogen bond [N⋯O = 2.714 (1) Å]. [ABSTRACT FROM AUTHOR]