Dispersive optical soliton solutions for the hyperbolic and cubic-quintic nonlinear Schrödinger equations via the extended sinh-Gordon equation expansion method

AR Seadawy, D Kumar… - The European Physical …, 2018 - epjplus.epj.org
The (2+ 1)-dimensional hyperbolic and cubic-quintic nonlinear Schrödinger equations
describe the propagation of ultra-short pulses in optical fibers of nonlinear media. By using …

Optical soliton solutions for Schrödinger type nonlinear evolution equations by the tan (Φ (ξ)/2)-expansion method

J Manafian - Optik, 2016 - Elsevier
We analytically study the Schrödinger type nonlinear evolution equations by improved tan
(Φ (ξ)/2)-expansion method. Explicit solutions are derived, which include optical bright …

The higher-order nonlinear Schrödinger's dynamical equation with fourth-order dispersion and cubic-quintic nonlinearity via dispersive analytical soliton wave …

WB Rabie, HM Ahmed, AR Seadawy… - Optical and Quantum …, 2021 - Springer
In this work, we utilize the extended simplest equation method to obtain exact solutions for
the higher-order nonlinear Schrödinger's equation with fourth-order dispersion and cubic …

Novel solitary and periodic waves for the extended cubic (3+ 1)-dimensional Schrödinger equation

RM El-Shiekh, M Gaballah - Optical and Quantum Electronics, 2023 - Springer
In this paper, the extended (3+ 1)-dimensional cubic Schrödinger equation (3D-CNLSE)
describes the propagation of pulses in highly nonlinear optical systems solved by the …

New interesting optical solutions to the quadratic–cubic Schrodinger equation by using the Kudryashov-expansion method and the updated rational sine–cosine …

M Alquran - Optical and Quantum Electronics, 2022 - Springer
The updated rational sine–cosine functions and the Kudryashov-expansion method are
implemented to investigate new optical explicit solitons to the generalized nonlinear …

[HTML][HTML] Different analytical approaches for finding novel optical solitons with generalized third-order nonlinear Schrödinger equation

S Malik, S Kumar, KS Nisar, CA Saleel - Results in Physics, 2021 - Elsevier
In this paper, we looked into the generalized third-order nonlinear Schrödinger equation
(NLSE). This model has a wide range of applications, including ultra-short pulses in optical …

New types of exact solutions for the fourth-order dispersive cubic–quintic nonlinear Schrödinger equation

GQ Xu - Applied Mathematics and Computation, 2011 - Elsevier
In this study, we use two direct algebraic methods to solve a fourth-order dispersive cubic–
quintic nonlinear Schrödinger equation, which is used to describe the propagation of optical …

[HTML][HTML] Analytic combined bright-dark, bright and dark solitons solutions of generalized nonlinear Schrödinger equation using extended sinh-Gordon equation …

AS Bezgabadi, MA Bolorizadeh - Results in Physics, 2021 - Elsevier
In this paper, we find analytic solutions of generalized nonlinear Schrödinger equation
(GNLSE), the underlying equation for studying pulse propagation through optical …

[HTML][HTML] Exploration of new solitons in optical medium with higher-order dispersive and nonlinear effects via improved modified extended tanh function method

O El-shamy, R El-barkoki, HM Ahmed, W Abbas… - Alexandria Engineering …, 2023 - Elsevier
Throughout this article, the improved modified extended tanh function method is presented
for deriving fresh travelling wave alternative solutions in different forms of nonlinear …

Optical soliton and other solutions to the nonlinear dynamical system via two efficient analytical mathematical schemes

M Bilal, J Ren, M Inc, RK Alhefthi - Optical and Quantum Electronics, 2023 - Springer
This article will discuss the (2+ 1)-dimensional nonlinear dynamical conformable
generalized Schrödinger system to represent the optical pulse propagation in monomode …