Abstract The cubic complex Ginzburg-Landau equation is one of the most-studied nonlinear
equations in the physics community. It describes a vast variety of phenomena from nonlinear …

We present a detailed overview of the physics and applications of optical dark solitons:
localized nonlinear waves (orholes') existing on a stable continuous wave (or extended finite …

The current research into solitons and their use in fiber optic communications is very
important to the future of communications. Since the advent of computer networking and …

Page 1 The Nonlinear Schrödinger Equation: Self-Focusing and Wave Collapse Catherine
Sulem Pierre-Louis Sulem Springer Page 2 Applied Mathematical Sciences Volume 139 Editors …

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 …

In physics, wave propagation is traditionally analyzed by means of regular solutions of wave
equations. However, solutions of wave equations in two and three dimensions often possess …

Fractional order differential equations are utilized for modeling many complicated physical
and natural phenomena in nonlinear sciences and related fields. In this manuscript, the …

Optical vortices in linear and nonlinear media may exhibit propagation dynamics similar to
hydrodynamic vortex phenomena. Analytical and numerical methods are used to describe …

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 …

Variable coefficients nonlinear evolution equations offer us with more real aspects in the
inhomogeneities of media and nonuniformities of boundaries than their counter constant …