In this paper, some new exact travelling wave solutions are constructed in different form of
coupled partial differential equations having terms of odd and even order partial derivative …

In this paper, new exact solitary wave, soliton and elliptic function solutions are constructed
in various forms of three dimensional nonlinear partial differential equations (PDEs) in …

The Boussinesq equation with dual dispersion and modified Korteweg–de Vries–Kadomtsev–
Petviashvili equations describe weakly dispersive and small amplitude waves propagating …

In this manuscript, we constructed different form of new exact solutions of generalized
coupled Zakharov–Kuznetsov and dispersive long wave equations by utilizing the modified …

Application of magnetic fields to medical science is growing rapidly, with the development of
novel magnetic pumps, hydromagnetic separation devices, etc. In this paper, we study the …

This article examines how shocks and three-dimensional nonlinear dust-ion-acoustic waves
propagate across uniform magnetized electron–positron–ion plasmas. The two-variable …

In this article, differential transform method (DTM) has been successfully applied to obtain
the approximate analytical solutions of the nonlinear homogeneous and non-homogeneous …

An analytic study was conducted on coupled partial differential equations. We formally
derived new solitary wave solutions of generalized coupled system of Zakharov‐Kuznetsov …

This paper introduces a novel quartic B-spline collocation method to address the coupled
Whitham–Broer–Kaup (WBK) problem. The WBK problem is a topic of interest in the study of …

This paper investigates wave solutions and electromagnetic wave phenomena governed by
the (3+ 1)-dimensional extended Zakharov-Kuznetsov equation (EZKE) utilizing the Sardar …