Cubic-quartic optical solitons of the complex Ginzburg-Landau equation: a novel approach

AH Arnous, TA Nofal, A Biswas, Y Yıldırım, A Asiri - Nonlinear Dynamics, 2023 - Springer
This paper presents a method for extracting cubic–quartic optical soliton solutions for the
complex Ginzburg–Landau equation with five distinct forms of nonlinear refractive index. By …

[HTML][HTML] Solitary waves of the complex Ginzburg-Landau equation with anti-cubic nonlinearity

NA Kudryashov, Q Zhou, CQ Dai - Physics Letters A, 2023 - Elsevier
Abstract The complex Ginzburg-Landau equation with anti-cubic nonlinearity is considered.
Using a modification of the simplest equation method for finding exact solutions of nonlinear …

Dynamical structure and variety of new fiber optical solitons of the stochastic Ginzburg–Landau dynamical model

N Raza, AR Seadawy, S Arshed, KA Khan - Optical and Quantum …, 2024 - Springer
This article deals with the exact results of the stochastic real-valued Ginzburg–Landau (SGL)
equation, along with the features of multiplicative noise (M-noise) that are useful in the area …

Dispersive optical solitons along with integrability test and one soliton transformation for saturable cubic-quintic nonlinear media with nonlinear dispersion

AR Seadawy, U Akram, STR Rizvi - Journal of Geometry and Physics, 2022 - Elsevier
Three well known properties of solitons will be discussed in this paper, like Painleve test (P-
test), Hirota bilinear method (HBM) and extended modified auxiliary equation mapping …

Lie point symmetries exact solutions and conservation laws of perturbed Zakharov–Kuznetsov equation with higher-order dispersion term

MN Ali, AR Seadawy, SM Husnine - Modern Physics Letters A, 2019 - World Scientific
In this paper, Zakharov–Kuznetsov equation is investigated for exact solutions and
conservation laws. The well-known Zakharov–Kuznetsov equation contains third-order …

[PDF][PDF] Numerical solution of quadratic general Korteweg-de Vries equation by Galerkin quadratic finite element method.

M Bassem, M Rima, T Abdelhamid… - WSEAS Transactions …, 2018 - researchgate.net
In this work, we consider the quadratic generalized Kortewegde Vries (QGKdV) equation
that is a mathematical model of waves on shallow water surfaces. Numerical solution of a …