The purpose of this work is to seek various innovative exact solutions using the new
Kudryashov approach to the nonlinear partial differential equations (NLPDEs). This …

In this paper, we find new solitons solutions of the complex Ginzburg-Landau equation with
Kerr law nonlinearity according to the new extended direct algebraic method. When …

Abstract The Jaulent–Miodek (JM) system is investigated analytically in this study. The JM
equation comes with energy-dependent Schrödinger potential which is used in fluid …

This course of research is dedicated to Biswas–Milovic (BM) model with variable coefficients
comprising Kerr law and damping effect. More precisely, Biswas–Milovic (BM) equation is …

The present paper aims to investigate the chirped optical soliton solutions of the nonlinear
Schrödinger equation with nonlinear chromatic dispersion and quadratic-cubic law of …

The main purpose of this paper is to study the dynamical behaviors and optical solitons in
DWDM networks with Schrödinger–Hirota equation. First of all, the Schrödinger–Hirota …

New dual-wave soliton solutions are addressed for the two-mode Sawada-Kotera (TmSK)
equation arising in fluids by the modified Kudryashov and new auxiliary equation methods …

This work considers the complex Ginzburg–Landau equation with Kerr law nonlinearity,
which is used widely to model soliton propagation in the presence of detuning factor …

Abstract In this paper, the (1+ 1)-dimensional Biswas-Milovic equation with parabolic law
and nonlocal nonlinearity is studied. Firstly, the Biswas-Milovic equation with parabolic law …

Soliton interactions occur when two solitons are close enough. In general, periodic
oscillations can be presented during soliton interactions. The periodic oscillations will lead …