Dynamics of soliton solutions in optical fibers modelled by perturbed nonlinear Schrödinger equation and stability analysis

S Akram, J Ahmad, S Sarwar, A Ali - Optical and Quantum Electronics, 2023 - Springer
The perturbed nonlinear Schrödinger equation is used frequently to simulate ultra-short
pulse lasers, nonlinear optics, optical communication systems, plasmas and other areas of …

[HTML][HTML] Dynamics of novel exact soliton solutions to Stochastic Chiral Nonlinear Schrödinger Equation

SU Rehman, J Ahmad, T Muhammad - Alexandria Engineering Journal, 2023 - Elsevier
The core objective of this study is to explore the some novel stochastic solutions. For this
purpose, we consider the stochastic (2+ 1)-dimensional Chiral nonlinear Schrödinger …

Lump solutions, Kuznetsov–Ma breathers, rogue waves and interaction solutions for magneto electro-elastic circular rod

AR Seadawy, STR Rizvi, S Ahmed, A Bashir - Chaos, Solitons & Fractals, 2022 - Elsevier
The current study deals with investigation of various lumps, breathers and interaction
solutions to the (1+ 1)-dimensional longitudinal wave equation in magneto electro-elastic …

Dynamics of optical and other soliton solutions in fiber Bragg gratings with Kerr law and stability analysis

J Ahmad - Arabian Journal for Science and Engineering, 2023 - Springer
This study deals to investigate a diverse collection of optical solitons and others solutions to
fiber Bragg gratings with dispersive reflectivity having Kerr law of nonlinear refractive index …

Dynamics of optical and multiple lump solutions to the fractional coupled nonlinear Schrödinger equation

S Ur-Rehman, J Ahmad - Optical and Quantum Electronics, 2022 - Springer
In this present study, the modified generalized exponential rational function method
(mGERFM) and the Hirota bilinear method (HBM) are implemented to secure optical and …

Lax pair, Darboux transformation, Weierstrass–Jacobi elliptic and generalized breathers along with soliton solutions for Benjamin–Bona–Mahony equation

STR Rizvi, AR Seadawy, S Ahmed… - International Journal of …, 2023 - World Scientific
This paper studies the Lax pair (LP) of the (1+ 1)-dimensional Benjamin–Bona–Mahony
equation (BBBE). Based on the LP, initial solution and Darboux transformation (DT), the …

A novel scheme for SMCH equation with two different approaches

A Akbulut, R Islam, Y Arafat… - … Methods for Differential …, 2023 - cmde.tabrizu.ac.ir
In this study, the unified and improved F-expansion methods are applied to derive exact
traveling wave solutions of the simplified modified Camassa-Holm (SMCH) equation. The …

[HTML][HTML] Wave solitons to a nonlinear doubly dispersive equation in describing the nonlinear wave propagation via two analytical techniques

MS Alharthi - Results in Physics, 2023 - Elsevier
Over the years, it has been apparent that the application of classical concepts in differential
calculus in describing new applied problems requires a kind of general and fundamental …

Comparative analysis for the nonlinear mathematical equation with new wave structures

I Onder, M Cinar, A Secer, A Yusuf, M Bayram… - The European Physical …, 2022 - Springer
In this work, we aim to derive various soliton solutions to the Wazwaz–Benjamin–Bona–
Mahony equation with conformable and M-truncated derivatives. The considered equation …

Bifurcation analysis and soliton solutions to the doubly dispersive equation in elastic inhomogeneous Murnaghan's rod

SMR Islam - Scientific Reports, 2024 - nature.com
The doubly dispersive (DD) equation finds extensive utility across scientific and engineering
domains. It stands as a significant nonlinear physical model elucidating nonlinear wave …