Optical solitons of the resonant nonlinear Schrödinger equation with arbitrary index

NA Kudryashov - Optik, 2021 - Elsevier
Traveling wave reduction of the resonant nonlinear Schrödinger equation with arbitrary
refractive index is considered. The system of equations for real and imaginary parts is …

Optical solutions with Kudryashov's arbitrary type of generalized non-local nonlinearity and refractive index via the new Kudryashov approach

MAS Murad - Optical and Quantum Electronics, 2024 - Springer
This paper studies the new Kudryashov approach for deriving optical solutions for a time-
fractional nonlinear Schrödinger equation. The equation incorporates Kudryashov's arbitrary …

Dynamics of exact solutions of nonlinear resonant Schrödinger equation utilizing conformable derivatives and stability analysis

J Ahmad, Z Mustafa - The European Physical Journal D, 2023 - Springer
In this paper, we consider the conformable resonant nonlinear Schrödinger equation
(CRNLSE) incorporating Kerr law nonlinearity and provide some new analytical solutions …

Applying fractional quantum mechanics to systems with electrical screening effects

M Al-Raeei - Chaos, Solitons & Fractals, 2021 - Elsevier
In this article, we simulate the spatial form of the fractional Schrödinger equation for the
electrical screening potential using Riemann-Liouville definition of the fractional derivatives …

Investigation of pure-cubic optical solitons in nonlinear optics

SU Rehman, M Bilal, M Inc, U Younas… - Optical and Quantum …, 2022 - Springer
The primary focus of this article is on cubic optical solitons (os) in a polarization-preserving
fiber modeled by the nonlinear Schrodinger equation (NLSE). In this work, our main idea is …

Some advanced chirped pulses for generalized mixed nonlinear Schrödinger dynamical equation

STR Rizvi, AR Seadawy, U Raza - Chaos, Solitons & Fractals, 2022 - Elsevier
In an optical fibre, we investigate the propagation properties of nonlinear periodic waves
(PW) for a generalized mixed nonlinear Schrödinger (GMNLS) equation. The Jacobi elliptic …

Dynamics of solitons and weakly ion-acoustic wave structures to the nonlinear dynamical model via analytical techniques

M Bilal, J Ren, M Inc, RT Alqahtani - Optical and Quantum Electronics, 2023 - Springer
This study employs the generalized exponential rational function method and (G′ G 2)-
expansion function method. Computer algebra is used to study the multiple wave solutions …

On system of nonlinear coupled differential equations and inclusions involving Caputo-type sequential derivatives of fractional order

M Subramanian, M Manigandan, C Tunç… - Journal of Taibah …, 2022 - Taylor & Francis
We investigate a new class of boundary value problems of a nonlinear coupled system of
sequential fractional differential equations and inclusions involving Caputo fractional …

Propagation of chirped periodic and solitary waves for the coupled nonlinear Schrödinger equation in two core optical fibers with parabolic law with weak non-local …

STR Rizvi, AR Seadawy, B Mustafa, K Ali… - Optical and Quantum …, 2022 - Springer
In this paper, we will study the propagation properties of nonlinear periodic waves (PW) in a
fiber optics for the coupled nonlinear Schrödinger equation with parabolic law with weak …

[HTML][HTML] New exact solitary wave solutions for the 3D-FWBBM model in arising shallow water waves by two analytical methods

M Bilal, J Ahmad - Results in Physics, 2021 - Elsevier
In this article, we investigate the exact solitary wave solutions to the 3D fractional Wazwaz-
Benjamin-Bona-Mahony (3D-FWBBM) equation in emerging shallow-water waves. Different …