Abstract The (3+ 1)-dimensional generalized shallow water equation is a significant
mathematical framework for analyzing the dynamic behavior of waves in ocean physics. The …

In the present study, by implementing the direct algebraic method, we present the traveling
wave solutions for some different kinds of the Korteweg–de Vries (KdV) equations. The exact …

This article aims to explore and examine general soliton solutions within the context of the
generalized Benjamin-Bona-Mahony equation. This equation is a significant mathematical …

The Kawahara equation (KE) and the modified Kawahara equation (MKE) are important
modeling equations to interpret shallow water waves with surface tension, magneto-acoustic …

In present work, we apply a novel $(\fr {G\prime}{G}) $-formalism to construct more general
solitary traveling wave solutions of Nonlinear Evolution Equations (NLEEs) such as …

Traveling wave solutions of KdVs using sine–cosine method - ScienceDirect Skip to main
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One of the important nonlinear evolution equations in mathematical physics is the modified
Kawahara equation. In this work, by utilizing an analytic method based on the Jacobi elliptic …

The Kawahara equation is a model of capillary-gravity water wave and plasma waves. In this
paper, a direct method based on the Jacobi elliptic functions is presented to get analytical …

It is a fact that in auxiliary equation methods, the exact solutions of different types of auxiliary
equations may produce new types of exact travelling wave solutions to nonlinear equations …

The (G'/G)-expansion method is simple and powerful mathematical tool for constructing
traveling wave solutions of nonlinear evolution equations which arise in engineering …