The updated rational sine–cosine functions and the Kudryashov-expansion method are
implemented to investigate new optical explicit solitons to the generalized nonlinear …

In this work, we present new two-mode extension to the coupled KdV–Schrodinger
equations. This new model arises in many applications in the field of optics, communications …

The lump solutions have been shown to be one of the most effective solutions for nonlinear
evolution problems. The resilient Hirota bilinear method is used to evaluate the integrable …

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

In this work, new interesting types of periodic solutions to the damped (2+ 1)-dimensional
Schrodinger equation are extracted by applying new modifications of both rational sine …

The resonant nonlinear Schrödinger's equation portrays the wave propagation in fiber
optics. In this work, we get new solutions using two powerful and effective analytical …

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 …

In this study, we rearrange the non-linear Schrödinger equation (NLSE) into a dual-mode
structure, which expands it, and then we investigate the geometrical evaluation and …

Abstract The (2+ 1)-dimensional Chaffee–Infante has a wide range of applications in
science and engineering, including nonlinear fiber optics, electromagnetic field waves …

The Kerr law and dual power law Schrödinger equations for obtaining optical soliton
solutions are studied. In this paper, we investigate these equations via generalized logistic …