Bifurcation analysis is a powerful method for investigating the steady-state nonlinear
dynamics of systems. There are software programmes that allow for the numerical …

In this paper, we focus our attention on a (3+ 1)-dimensional variable-coefficient Hirota
bilinear system in a fluid with symbolic computation. The Painlevé integrable property is …

The nonlinear space–time fractional Sasa–Satsuma and Schrödinger–Hirota equations with
beta derivative describe optical soliton, photonics, plasmas, neutral scalar masons, and long …

The nonlinear dispersive eighth-order Schrödinger equation is a mathematical equation that
describes the behaviour of complex wave phenomena in specific physical systems. It is …

In this article, we aim to study the dynamical behavior of the (3+ 1)-dimensional Jimbo-Miwa-
like (JML) equation. By using different methods, different forms of solutions are obtained. At …

In this work, the higher-order localized waves for a coupled Hirota system are analytically
investigated, providing a way to describe the wave propagation of two ultrashort optical …

The rapid advancements in metamaterial research have brought forth a new era of
possibilities for controlling and manipulating light at the nanoscale. In particular, the design …

The challenge of solving the initial value problem for the coupled Lakshmanan Porsezian
Daniel equation, while considering nonzero boundary conditions at infinity, is addressed …

This article studies the generalized nonlinear Schrödinger equation, which is used to
simulate the propagation model of optical pulses in Non-Kerr medium. Building upon the …

In this article, using the method of differential constraints and Lie group analysis, new exact
kink-like solutions are obtained for certain families of nonlinear Schrödinger equations with …