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 …

This article examines the complex Ginzburg–Landau equation with the beta time derivative
and analyze its optical solitons and other solutions in the appearance of a detuning factor in …

In recent years, the derivation and solution of integrable nonlinear evolution equations
(NLEEs) in one, two, or more dimensions have been the apex in the field of applied …

The perturbed nonlinear Schrödinger–Hirota equation with spatio-temporal dispersion
(PNSHE-STD) which governs the propagation of dispersive pulses in optical fibers, is …

In this paper, we take into consideration a general form of the extended Kadomtsev–
Petviashvili equation, which has several applications in applied sciences and engineering …

The fourth-order nonlinear Boussinesq water wave equation, which explains the
propagation of long waves in shallow water, is explored in this article. We used the Lie …

The examination of the concatenation model with spatio-temporal dispersion, Kerr law
nonlinearity, and several Hamiltonian perturbation terms, in addition to the influence of …

Solitons are specialized solutions to certain nonlinear partial differential equations (PDEs)
that behave like localized waves. They maintain their shape and speed as they propagate …

This study introduces an analysis of bifurcations, chaotic dynamics, and sensitivity using the
Galilean transformation applied to the perturbed non-linear Schrödinger equation (NLSE) …

The quest for exact solutions to nonlinear partial differential equations has become a
remarkable research subject in recent years. In this study, we employ the Kudryashov …