Search

In this paper N-soliton propagations for the Calogero-Bogoyavlenskii-Schiff (CBS) equation in an inhomogeneous media which describes the long nonautonomous waves are obtained. Here attention is focused to study the effect of the dispersion coefficient on the propagation solitons waves. It is found that N-bright-dark solitons are produced by periodic or coupled periodic and pulses waves. Solitons waves are propagated for two and three pulses with periodic oscillating. Further, the double-periodic and solitary waves are dispersive to broken-solitons waves for the graded-index with oscillating reflection components. These results are useful for the application for long-distance telecommunication and optical fiber. [ABSTRACT FROM AUTHOR]

The aim of this work is to analyze and explore the dynamics of two extensions of the Bogoyavlenskii–Schieff equation. The Hirota bilinear method is applied to the equations that arise in plasma physics. The N-soliton, fusion, rational solutions and breather solutions, as well as the interaction between M-lump and soliton solutions, are retrieved for both extended equations. The M-lump wave solutions are created from the soliton wave solutions, which are established via the Hirota bilinear method, by considering a longwave limit to the soliton wave solutions and presenting suitable conjugation conditions. The solutions for a given choice of constants are represented graphically to better understand the associated physical phenomena such as the propagation behaviors and the types of collisions. [ABSTRACT FROM AUTHOR]

Synchronization of dissipative solitons (DSs) in a system of closed traveling-wave field-effect transistors (TWFETs) is investigated to generate phase-controlled pulse trains. Because of attractive interaction, a DS that rotates along a closed TWFET synchronizes with a DS that rotates along another closed one connected via a resistor, such that both DSs simultaneously pass the connected cell. A pulse train can be generated by outputting part of the DS, whose repetition rate corresponds to the DS rotation frequency. The perturbation theory based on the inverse scattering transform is applied to the model equations to quantify the synchronization behavior of the interacting DSs. Several numerical time-domain calculations are done to show that the synchronization can be utilized to generate a multiphase and low-timing-jitter pulse train. [ABSTRACT FROM AUTHOR]

This paper is devoted in the study of the resonant nonlinear Schrödinger equation with competing weakly nonlocal nonlinearity and fractional temporal evolution which describes the dynamics of optical solitons through nonlinear optical fibers. The equation is studied with two forms of nonlinearity, namely Kerr law and parabolic law. The fractional complex transformation and F-expansion method is used to obtain exact optical soliton solutions of the equation. In addition, the constraint relations between the model coefficients and the traveling wave frequency coefficient for the existence of optical solitons are also derived. [ABSTRACT FROM AUTHOR]

A nonlinear transmission line (NLTL) is comprised of a transmission line periodically loaded with varactors, where the capacitance nonlinearity arises from the variable depletion layer width, which depends both on the DC and AC voltages of the propagating wave. An equivalent circuit model of NLTL is discussed analytically, in this article, and different type of solutions are celebrated. The improved extended tanh-function method has been applied successfully to extract the solutions. The obtained solutions are solitary wave solutions, singular periodic solutions, singular soliton solutions, Jacobi elliptic doubly periodic type solutions and Weierstrass elliptic doubly periodic type solutions. It is a very convenient tool to study the propagation of electrical solitons which propagate in the form of voltage waves in nonlinear dispersive media. [ABSTRACT FROM AUTHOR]

Nonlinear evolution equations form the most fundamental theme in mathematical physics. The search for exact solutions of nonlinear equations has been of interest in recent years. In this paper, we obtain exact solutions of the nonlinear Jaulent-Miodek hierarchy and (2+1)-dimensional Calogero-Bogoyavlenskii-Schiff equation by using the generalized Kudryashov method. All calculations in this study have been made and checked back with the aid of the Maple packet program. [ABSTRACT FROM AUTHOR]

This paper addresses the Biswas-Milovic equation as a generalized model for soliton propagation through optical wave guides. The extended trail equation method reveals several forms of soliton solution such as bright, dark and singular solitons. Other wave solutions fall out as by-product of this integration algorithm. [ABSTRACT FROM AUTHOR]

In this paper, we have proposed new test function to construct exact solitary wave solutions for nonlinear evolution equations. The (3+1)-dimensional Jimbo-Miwa equation is taken as an example to illustrate the effectiveness of proposed test function. With aid of Maple program, cumbersome calculation is carried out to obtain new exact solutions for said equation. The exact solutions obtained enrich the solution structure of higher-dimensional nonlinear wave equation. Evidently, this method can be applied to other nonlinear evolution equations as well. [ABSTRACT FROM AUTHOR]

This work presents an analytical study of dynamic behaviors of solitons in the electrical transmission line. The nonlinear dynamical model that is the modified Zakharov-Kuznetsov equation with an external force is investigated. Via the Riccati equation mapping scheme, explicit twenty seven traveling wave solutions, which include periodic solutions, rational wave solution, soliton solutions as well as soliton-like solutions, are constructed for the first time. [ABSTRACT FROM AUTHOR]

In this article, new and general exact traveling wave solutions including soliton-like solutions, triangular-type solutions, single and combined nondegenerate Jacobi elliptic wave function-like solutions, doubly periodic-like solutions are obtained for integrable (2+1)-dimensional Maccari system. This system is frequently introduced to define the motion of the isolated waves, localized in a very small part of space, in many fields such as quantum field theory, hydrodynamics, in plasma physics to describe the behavior of the sonic Langmuir solitons, and also in nonlinear optics. Based on the generalized elliptic equation, an algebraic method is used to construct a series of exact solutions. Being concise and straightforward, the calculations demonstrate the effectiveness and convenience of the method for solving other nonlinear partial differential equations. [ABSTRACT FROM AUTHOR]

This paper addresses soliton propagation through optical fibers by the aid of Biswas-Milovic equation that serves as a generalized version of the usual nonlinear Schrodinger's equation. Several integration schemes are implemented to secure solitons and other solutions to the model. There are two types of nonlinear media that are studied. They are power law and dual-power law so that Kerr law and parabolic law emerge as special cases to these two laws. [ABSTRACT FROM AUTHOR]