The purpose of this study is to investigate the deeper characteristics of the system of shallow
water wave equations that is used to model the turbulence in the atmosphere and oceans …

Abstract The (1+ 1)-dimensional bilinear Hietarinta equation was firstly proposed when
searching for integrable nonlinear evolution equations by the three-soliton method. In this …

The objective of this manuscript is to examine the nonlinear characteristics of the modified
equal width equation that is used to simulate the one-dimensional wave propagation …

In this study, the authors solved the (2+ 1)-dimensional fractional Date-Jimbo-Kashiwara-
Miwa equation for nonlinear dispersive waves in an inhomogeneous medium, which is an …

This study examines the perturbed Fokas–Lenells equation using two methods: the
Bernoulli sub-equation function method and the 1/G′-expansion method. A traveling wave …

Abstract The Kadomtsev–Petviashvili (KP) equation is widely used to model nonlinear wave
phenomena occurring in plasmas and fluids, such as water waves with weak nonlinear …

In this research article, we study a new (3+ 1)-dimensional Hirota bilinear equation which
can describe the dynamics of ion-acoustic wave and Alvin wave of small but finite amplitude …

The modified extended tanh technique is used to investigate the conformable time fractional
Drinfel'd-Sokolov-Wilson (DSW) equation and integrate some precise and explicit solutions …

This paper explores the dynamic behavior of the (2+ 1)-dimensional Boussinesq equation,
which is a nonlinear water wave equation used to model wave packets in dispersive media …

The Lonngren wave equation, which simulates electrical signals in the semiconductor
material known as tunnel diode, is taken into account in this work. New rational …