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The study investigated the beneficial effects of vitamin E-loaded nano-emulsion (NEVE) on hemato-biochemical changes, oxidative stress, inflammatory responses, immunological variables, and semen quality in heat-stressed rabbit bucks. Forty adult V-line rabbit bucks were randomly assigned to four groups and fed diets containing NEVE at 0 (NEVE0), 50 (NEVE50), 100 (NEVE100), and 200 (NEVE200) mg/kg for 12 weeks. The NEVE had a mean particle diameter of 32.6 nm, a polydispersity index of 0.6, and a zeta potential of −31.1 mV. The dietary NEVE significantly improved the hematological, blood protein, lipid profile, and liver functions of rabbit bucks (p

Nonlinear Schrödinger equations are a key paradigm in nonlinear research, attracting both mathematical and physical attention. This work was primarily concerned with the usage of a reliable analytic technique in order to solve two models of (2+1)-dimensional nonlinear Schrödinger equations. By applying a comprehensible wave transformation, every nonlinear model was simplified to an ordinary differential equation. A number of critical solutions were observed that correlated to various parameters. The provided approach has various advantages, including reducing difficult computations and succinctly presenting key results. Some 2D and 3D graphical representations regarding presented solitons were considered for the appropriate values of the parameters. We also showed the effect of the physical parameters on the dynamical behavior of the presented solutions. Finally, the proposed approach may be expanded to tackle increasingly complicated problems in applied science.

The perturbed chiral nonlinear Schrö dinger equation (PCNLSE) reflects the quantum actions such as quantum pictures of Bohm potential and internal self-potential properties. Indeed, this equation introduces the basics of the hidden variable theory in quantum mechanics. Two unified solver methods and exp[Formula: see text]-expansion technique applied to PCNLSE to present many solitonic solutions in an explicit and effective way. The behaviour of these solutions is of qualitatively different structural natures, relying on physical coefficient parameters. The application of three mathematical techniques to our model system provides us with several possible physical property solutions that account for the majority of many phenomena the model under study attempts to depict. The reported bright explosive envelopes, explosive solitons, periodic blow up, bright periodic envelope and huge solitary waves are highly applicable in plasma and nuclear physics, optical communications, electro-magnetic propagations, superfluid and in a lot other applied sciences. The results of this system's solitary structures are consistent with the characteristics of the nonlinear Schrödinger equation systems used to study dispersive modes and higher-order perturbed systems. For more details about the physical dynamical representation of the presented solutions, we have illustrated them with profile pictures using Mathematica and Matlab 18, to obtain complete configurations. The proposed approach can be applied to several equations arising in all applied sciences.

For many nonlinear applications described by the dynamics of nonlinear Schrödinger equation with higher-order terms (HONLSE) such as nonlinear optics, space plasma physics molecular biology, astrophysics, quantum mechanics, superfluid, fluid mechanics, and fiber optics communications, a unique closed-form solution have been obtained using energy equation. In addition, some new solitary solutions HONLSE have been obtained via the unified solver method. The resultant solutions behave as breathers, super solitons, envelope breathers, blow up, localized super waves, periodical super shock, train super solitons, and shock structures. The modulations of Kerr nonlinear, chromatic dispersive, and wave packet drift parameters on the wave characteristics of the obtained solutions have been investigated. It was reported that the model parameters affect the amplitude, steepness, and width of the resultant structures. The provided solution can be used as a box solver for a variety of natural science systems described by distinct nonlinear equations.

This article analyzes and examines the nonlinear Maccari’s equations with a noise term using the powerful sub-equation mathematical approach. Several significant solitary and rational solutions have been provided. These solutions are crucial in a number of fields, such as superfluid, optical fiber communication, and space-confined plasma waves. The effects of model parameters on the obtained solutions’ features have been discussed. The randomness parameter affects the envelope, solitonic structures, and energy properties. It was reported that by increasing the random parameter, Brownian isolated driving shock waves with random amplitude were produced. Finally, the method described here may be applied to many nonlinear systems and new energy trends in natural science.

The shear shallow water (SSW) model introduces an approximation for shallow water flows by including the effect of vertical shear in the system. Six non-linear hyperbolic partial differential equations with non-conservative laws make up this system. Shear, contact, rarefaction, and shock waves are all admissible in this model. We developed the finite-volume two-step scheme, the so-called generalized Rusanov (G. Rusanov) scheme, for solving the SSW model. This method is split into two stages. The first one relies on a local parameter that permits control over the diffusion. In stage two, the conservation equation is recovered. Numerous numerical instances were taken into consideration. We clarified that the G. Rusanov scheme satisfied the C-property. We also compared the numerical solutions with those obtained from the Rusanov, Lax-Friedrichs, and reference solutions. Finally, the G. Rusanov technique may be applied for solving a wide range of additional models in developed physics and applied science.

Abstract Background Knowledge of the sequelae of new coronavirus disease 2019 (COVID-19) is still limited owing to the relative recent onset of the disease. However, the study of other different types of coronavirus infections prior to COVID-19 infection reports that the patients may experience persistent symptoms following the infection. The aim of this study Assessment and follow-up of persistent respiratory symptoms in patients recovered from acute COVID-19 infection. Methods In this prospective cohort study, COVID-19 patients diagnosed at Beni-Suef University hospital and followed up prospectively at 3, 6, and 12 months after discontinuation of quarantine. Patients were interviewed for persistent respiratory symptoms then underwent assessment by physical examination and routine labs. Results Seventy-one patients were evaluated and participated in this study. The mean age of the patients was 47 years and 46 (64%) of them were females. After 3 months, 77.5% of the patients had persistent dyspnea, 57.7% persistent fatigue, 15.5% persistent cough, and 8.5% persistent chest pain. At the 6th month, dyspnea and fatigue persisted in 33.8% and 22.5% of cases respectively while at the 12th month dyspnea persisted in 22.5% of cases. Old age, smoking, diabetes mellitus, severity of the disease, and hypoxemia on admission were associated factors with persistent symptoms. Conclusion Our result added to the growing evidence that there are pulmonary sequelae in COVID-19 survivors, which may become a significant chronic global pulmonary health problem.