In this article, we aim to employ two analytical methods including, the Lie symmetry method
and the Jacobi elliptical solutions finder method to acquire exact solitary wave solutions in …

In this article, we use the Hirota bilinear method. With the help of the symbolic calculation
and applying the used method, we solve the (2+ 1)-dimensional Breaking Soliton (BS) …

Under investigation in this paper is a (2+ 1)-dimensional generalized Bogoyavlensky–
Konopelchenko equation in fluid mechanics and plasma physics. We obtain the Lie point …

This paper focuses on obtaining a large number of exact solutions to the highly nonlinear
(3+ 1)-dimensional Yu–Toda–Sassa–Fukuyama (YTSF) equation, which is important in fluid …

In this paper, we have acquired the periodic type and cross-kink wave solutions. In this
paper, we use the Hirota bilinear method. With the help of the symbolic calculation and …

Many important physical situations such as fluid flows, marine environment, solid-state
physics and plasma physics have been represented by shallow water wave equations. In …

In this paper, the solitary wave solutions of (3+ 1)-dimensional extended Zakharov–
Kuznetsov (eZK) equation are constructed which appear in the magnetized two-ion …

The present research is devoted to carry out Lie group classification and optimal system of
one-dimensional subalgebras of KP–BBM equation. The equation describes bidirectional …

This article investigates nonlinear behavior of ion acoustic waves in a plasma with
superthermal electrons and isothermal positrons. We consider the KdV–Burgers equation …

In this paper, we study the novel nonlinear wave structures of a (2+ 1)-dimensional variable-
coefficient Korteweg–de Vries (KdV) system by its analytic solutions. Its N-soliton solutions …