Optical solitons and closed form solutions to the (3+1)-dimensional resonant Schrödinger dynamical wave equation

U Younas, AR Seadawy, M Younis… - International Journal of …, 2020 - World Scientific
This paper investigates the new solitons and closed form solutions to (3+ 1) dimensional
resonant nonlinear Schrödinger equation (RNLSE) that explains the behavior of waves with …

Dispersive of propagation wave solutions to unidirectional shallow water wave Dullin–Gottwald–Holm system and modulation instability analysis

M Bilal, AR Seadawy, M Younis… - … Methods in the …, 2021 - Wiley Online Library
This article possesses modulation instability (MI) analysis and new exact wave solutions to
unidirectional Dullin–Gottwald–Holm (DGH) system that describes the prorogation of waves …

Novel optical solitons for the Ablowitz–Ladik lattice equation with conformable derivatives in the optical fibers

Y Asghari, M Eslami, H Rezazadeh - Optical and Quantum Electronics, 2023 - Springer
The principal purpose of this research is to utilize the exp-function approach for achieving
exact solutions of nonlinear optical fibers, including fractional order in the sense of …

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 …

On some novel optical wave solutions to the paraxial M-fractional nonlinear Schrödinger dynamical equation

KU Tariq, H Zainab, AR Seadawy, M Younis… - Optical and Quantum …, 2021 - Springer
The focus of this article is to find some new exact solutions to the M-fractional paraxial
nonlinear Schrödinger equation with Kerr media by employing the modified simple equation …

Optical soliton solutions for resonant Schrödinger equation with anti-cubic nonlinearity

AU Awan, HU Rehman, M Tahir, M Ramzan - Optik, 2021 - Elsevier
In this article, the Resonant nonlinear Schrödinger equation (RNLSE) having anti-cubic
nonlinearity is solved, using the generalized Kudryashov method. Nonlinear Schrödinger …

Mohand homotopy transform scheme for the numerical solution of fractional Kundu–Eckhaus and coupled fractional Massive Thirring equations

X Luo, M Nadeem - Scientific Reports, 2023 - nature.com
In this paper, Mohand homotopy transform scheme is introduced to obtain the numerical
solution of fractional Kundu–Eckhaus and coupled fractional Massive Thirring equations …

Some optical soliton solutions of space-time conformable fractional Schrödinger-type models

MT Darvishi, M Najafi, AM Wazwaz - Physica Scripta, 2021 - iopscience.iop.org
In this article, we introduce a family of nonlinear (1+ 1) dimensions Schrödinger-type models
with space-time fractional evolution in the sense of a conformable fractional derivative. We …

Oblique resonant optical solitons with Kerr and parabolic law nonlinearities and fractional temporal evolution by generalized exp (− Φ (ξ))-expansion

F Ferdous, MG Hafez, A Biswas, M Ekici, Q Zhou… - Optik, 2019 - Elsevier
This work studies fractional temporal evolution of oblique resonant optical solitons in (3+ 1)-
dimensions with Kerr-and parabolic-law nonlinearities. The generalized exp (− Φ (ξ)) …

A (3+ 1)-dimensional resonant nonlinear Schrödinger equation and its Jacobi elliptic and exponential function solutions

K Hosseini, M Matinfar, M Mirzazadeh - Optik, 2020 - Elsevier
The current study is concerned with a (3+ 1)-dimensional resonant nonlinear Schrödinger
(3D-RNLS) equation with diverse applications in nonlinear optics and its exact solutions. In …