Nonlinear phenomena observed in diverse scientific disciplines, including fluid dynamics,
plasma physics, and biology, are frequently described by partial differential equations …

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 article possess lump, lump with one kink, lump with two kink, rogue wave and lump
interactions with periodic and kink solitons for the generalized unstable space time fractional …

The topic of soliton propagation in optical fibers is explored in our research paper, with a
focus on the utilization of the modified nonlinear Schrödinger's equation with perturbation …

The paper aims to employ a new effective methodology to build exact fractional solutions to
the generalized nonlinear Schrödinger equation with a local fractional operator defined on …

The propagation of optical solitons via nonlinear metamaterials with cubic-quintic
nonlinearity, detuning intermodal dispersion, self steepening effect, and nonlinear third and …

In this work, we study the optical soliton solutions of the generalized non-autonomous
nonlinear Schrödinger equation (NLSE) by means of the new Kudryashov's method (NKM) …

The aim of this article was to address the lump, lump-one stripe, multiwave and breather
solutions for the Hunter–Saxton equation with the aid of Hirota bilinear technique. This …

This paper aims to determine some novel solitary wave solutions of the Chaffee–Infante
equation, which have not yet been presented for this equation. This equation arises in …

The sub-equation method is implemented to construct exact solutions for the conformable
perturbed nonlinear Schrödinger equation. In this paper, we consider three different types of …