in this paper, we obtained the 1-soliton solutions of the symmetric regularized long wave (srlw) equation and the (3+1)-dimensional shallow water wave equations. solitary wave ansatz method is used to carry out the integration of the equations and obtain topological soliton solutions the physical parameters in the soliton solutions are obtained as functions of the dependent coefficients. note t...

In this paper, we obtained the 1-soliton solutions of the symmetric regularized long wave (SRLW) equation and the (3+1)-dimensional shallow water wave equations. Solitary wave ansatz method is used to carry out the integration of the equations and obtain topological soliton solutions The physical parameters in the soliton solutions are obtained as functions of the dependent coefficients. Note t...

In this article, with the aid of Maple software, exact solutions to space-time fractional symmetric regularized long wave (SRLW) equation are successfully examined by G ? / 2 -expansion and extended complex methods. Consequen...

In this paper, by using a direct method based on the Jacobi elliptic functions, exact solutions of space-time fractional symmetric regularized long wave (SRLW) equation have been obtained. The function nonlinear ordinary differential (auxiliary) $\left({dF}/{d \xi}\right) ^{2} = PF^{4} (\xi)+QF^{2} (\xi) + R$ also examined. Besides, found in general form including rational, trigonometric and hy...

An efficient and accurate exponential wave integrator Fourier pseudospectral (EWI-FP) method is proposed and analyzed for solving the symmetric regularized-long-wave (SRLW) equation, which is used for modeling the weakly nonlinear ion acoustic and space-charge waves. The numerical method here is based on a Gautschi-type exponential wave integrator for temporal approximation and the Fourier pseu...

The symmetric regularized long wave system (SRLW) is a model for weakly nonlinear ion acoustic and space-charge waves, introduced by C. Seyler D. Fenstermacher. In this paper, we investigate the Wellposedness controllability properties of generalized (g-SRLW) in different structures, such as periodic bounded domains. Firstly, obtain exact results both linear g-SRLW posed on one-dimensional toru...

Nonlinear fractional partial differential equations (NLFPDEs) are widely used in simulating a variety of phenomena arisen several disciplines such as applied mathematics, engineering, physics, and wide range other applications. Solitary wave solutions NLFPDEs have become significant tool understanding the long-term dynamics these events. This article primarily focuses on using improved modified...

In this study, we aim to construct a traveling wave solution for nonlinear partial differential equations. In this regards, a cosine-function method is used to find and generate the exact solutions for three different types of nonlinear partial differential equations such as general regularized long wave equation (GRLW), general Korteweg-de Vries equation (GKDV) and general equal width wave equ...