Abstract The nonlinear Fokas–Lenells system is a popular model which can be wildly
applied in the fields of heat pulses in solids, signal processing, circulation system of …

The main objective of the present paper is to investigate the dynamics of soliton waves in a
generalized nonlinear Schrödinger (GNLS) equation. To achieve such a goal, the real and …

This work finds several new traveling wave solutions for nonlinear directional couplers with
optical metamaterials by means of the modified Kudryashov method. This model can be …

The main goal of the current paper is to analyze nonlinear effects on dynamical feathers of
soliton waves in a nonlinear Schrödinger equation (NLSE) including the parabolic law. To …

Phase-shift controlling can attenuate the interactions between solitons and gives practical
advantage in optical communication systems. For the variable-coefficient nonlinear …

The present study suggests a large family of optical solutions to the Kundu–Eckhaus model.
Modified form of an auxiliary equation approach have been used to set the solution families …

Purpose: When it comes to third and higher-order dispersion, the Schrödinger–Hirota
equation is one of the main models developed outside the classical NLSE management …

In this study, we regard the dual-mode nonlinear Schrödinger equation (DMNLSE). The
DMNLSE depicts the propagations of two-moving waves synchronically. The extended …

Purpose: In this article, we establish novel solutions for the perturbed nonlinear Lenells
equation, which is one of the model to investigate soliton dynamics through a polarization …

The coupled nonlinear Schrödinger equation in the (2+ 1)-dimensional inhomogeneous PT-
symmetric nonlinear coupler is studied. By employing Hirota bilinear method, the soliton …