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] 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 …

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 …

The study of solitary wave solutions to the time conformable Schrödinger system by a powerful computational technique

SU Rehman, M Bilal, J Ahmad - Optical and Quantum Electronics, 2022 - Springer
In this manuscript, we secure solitary wave solutions of the generalized (2+ 1)-dimensional
nonlinear conformable Schrödinger (NLCS) system by employing a powerful computational …

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 …

[HTML][HTML] Comparative analysis of numerical with optical soliton solutions of stochastic Gross–Pitaevskii equation in dispersive media

MZ Baber, N Ahmed, MW Yasin, MS Iqbal, A Akgül… - Results in Physics, 2023 - Elsevier
This article deals with the stochastic Gross–Pitaevskii equation (SGPE) perturbed with
multiplicative time noise. The numerical solutions of the governing model are carried out …

Discovering novel optical solitons of two CNLSEs with coherent and incoherent nonlinear coupling in birefringent optical fibers

AS Khalifa, WB Rabie, NM Badra, HM Ahmed… - Optical and Quantum …, 2024 - Springer
This article explores a wide range of envelope soliton pulses and their behavior during
propagation through a birefringent optical fiber. The propagation of light in such fibers is …

[HTML][HTML] A variety of exact optical soliton solutions to the generalized (2+ 1)-dimensional dynamical conformable fractional Schrödinger model

M Bilal, J Ahmad - Results in Physics, 2022 - Elsevier
In this work, our main idea is to retrieve a variety of exact optical solitons of the generalized
(2+ 1)-dimensional nonlinear conformable fractional Schrödinger system by employing three …

Dynamics of soliton solutions in saturated ferromagnetic materials by a novel mathematical method

M Bilal, J Ahmad - Journal of Magnetism and Magnetic Materials, 2021 - Elsevier
In this research work, we retrieve dynamics of new soliton solutions to the Kraenkel-Manna-
Merle system which describes the nonlinear ultrashort pulse in saturated ferromagnetic …

[HTML][HTML] Investigation of exact soliton solutions to Chen–Lee–Liu equation in birefringent fibers and stability analysis

SU Rehman, J Ahmad - Journal of Ocean Engineering and Science, 2022 - Elsevier
This study is devoted to uncover the optical solitons and other solutions. The mathematical
models used for this purpose is Chen–Lee–Liu equation in birefringent fibers which consist …