Soliton solutions of fractional extended nonlinear Schrödinger equation arising in plasma physics and nonlinear optical fiber

J Ahmad, S Akram, K Noor, M Nadeem, A Bucur… - Scientific Reports, 2023 - nature.com
In this research, we study traveling wave solutions to the fractional extended nonlinear
SchrÖdinger equation (NLSE), and the effects of the third-order dispersion parameter. This …

[HTML][HTML] The formation of solitary wave solutions and their propagation for Kuralay equation

WA Faridi, MA Bakar, Z Myrzakulova, R Myrzakulov… - Results in Physics, 2023 - Elsevier
In this paper, the main motive is to mathematical explore the Kuralay equation, which find
applications in various fields such as ferromagnetic materials, nonlinear optics, and optical …

[HTML][HTML] Propagation of optical pulses in fiber optics modelled by coupled space-time fractional dynamical system

N Nasreen, D Lu, Z Zhang, A Akgül, U Younas… - Alexandria Engineering …, 2023 - Elsevier
This article focuses on securing distinct optical solitons to optical fiber with the coupled
nonlinear Schrödinger equation. The examined equation is analyzed with the aid of …

[HTML][HTML] Description of soliton and lump solutions to M-truncated stochastic Biswas–Arshed model in optical communication

J Ahmad, S Akram, SU Rehman, NB Turki, NA Shah - Results in Physics, 2023 - Elsevier
This article negotiates the investigation of optical stochastic solitons and other exact
stochastic solutions with the fractional stochastic Biswas–Arshed equation (FSBAE) …

[HTML][HTML] Analysis of new soliton type solutions to generalized extended (2+ 1)-dimensional Kadomtsev-Petviashvili equation via two techniques

J Ahmad, S Akram, A Ali - Ain Shams Engineering Journal, 2024 - Elsevier
In this paper, we examine the solitary wave solutions of the generalised (2+ 1) extended
Kadomtsev–Petviashvili (eKP) equation, which is used as model for the surface waves and …

[HTML][HTML] Analysis of lump solutions and modulation instability to fractional complex Ginzburg–Landau equation arise in optical fibers

S Akram, J Ahmad, S Alkarni, NA Shah - Results in Physics, 2023 - Elsevier
In this paper, the fractional complex Ginzburg–Landau equation (CGLE) with Kerr law in
nonlinear optics, which simulates soliton propagation in various waveguides in the presence …

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 …

Stability analysis and dynamical behavior of solitons in nonlinear optics modelled by Lakshmanan–Porsezian–Daniel equation

S Akram, J Ahmad, SU Rehman - Optical and Quantum Electronics, 2023 - Springer
The current research analyses several new optical solitons solutions to the Lakshmanan–
Porsezian–Daniel (LPD) equation with the Kerr law of nonlinearity which arises from the …

New family of solitary wave solutions to new generalized Bogoyavlensky–Konopelchenko equation in fluid mechanics

S Akram, J Ahmad, SU Rehman, A Ali - International Journal of Applied …, 2023 - Springer
Many mathematicians and physicists are interested in Bogoyavlensky–Konopelchenko type
equations to illustrate the various dynamics of nonlinear wave phenomena in the fields of …

Studying the impacts of M-fractional and beta derivatives on the nonlinear fractional model

F Batool, MS Suleman, U Demirbilek… - Optical and Quantum …, 2024 - Springer
The major goal of the current research is to investigate the effects of fractional parameters on
the dynamic response of soliton waves of fractional non-linear density-dependent reaction …