[HTML][HTML] Wave profile analysis of a couple of (3+ 1)-dimensional nonlinear evolution equations by sine-Gordon expansion approach

MRA Fahim, PR Kundu, ME Islam, MA Akbar… - Journal of Ocean …, 2022 - Elsevier
Abstract The (3+ 1)-dimensional Kadomtsev-Petviashvili and the modified KdV-Zakharov-
Kuznetsov equations have a significant impact in modern science for their widespread …

[HTML][HTML] Solitary wave structures for the stochastic Nizhnik–Novikov–Veselov system via modified generalized rational exponential function method

J Ahmad, Z Mustafa, NB Turki, NA Shah - Results in Physics, 2023 - Elsevier
In this article, a significant stochastic Nizhnik–Novikov–Veselov (SNNV) system with
truncated M-fractional derivative (TMD) is investigated. This mathematical model is …

The mathematical and wave profile analysis of the Maccari system in nonlinear physical phenomena

SM Yiasir Arafat, K Fatema, SM Rayhanul Islam… - Optical and Quantum …, 2023 - Springer
The two-dimensional nonlinear complex coupled Maccari system is a significant model in
optics, quantum mechanics, plasma physics, hydrodynamics and some other fields. In this …

[HTML][HTML] Variational and non-variational approaches with Lie algebra of a generalized (3+ 1)-dimensional nonlinear potential Yu-Toda-Sasa-Fukuyama equation in …

OD Adeyemo, CM Khalique, YS Gasimov… - Alexandria Engineering …, 2023 - Elsevier
Nonlinear partial differential equations emerge in an extensive variants of physical problems
inclusive of fluid dynamics, solid mechanics, plasma physics, quantum field theory as well as …

Solitary wave analysis of the Kadomtsev–Petviashvili model in mathematical physics

ME Islam, MM Hossain, KM Helal… - Arab Journal of Basic …, 2023 - Taylor & Francis
Abstract The (3+ 1)-dimensional Kadomtsev–Petviashvili equation has significant
applications that emerge in the study of fluids and multi-component plasmas. The main …

Promulgation on various genres soliton of Maccari system in nonlinear optics

SMY Arafat, K Fatema, ME Islam, MA Akbar - Optical and Quantum …, 2022 - Springer
The complex coupled Maccari (CCM) system plays a remarkable role in quantum field
theory, hydrodynamics, plasma physics, etc. This unified method stands upon the fact that …

Analysis of parametric effects in the wave profile of the variant Boussinesq equation through two analytical approaches

SW Yao, ME Islam, MA Akbar, M Inc, M Adel… - Open Physics, 2022 - degruyter.com
The variant Boussinesq equation has significant application in propagating long waves on
the surface of the liquid layer under gravity action. In this article, the improved Bernoulli …

Exploration of optical solitons of a hyperbolic nonlinear Schrödinger equation

S Ahmad, S Ahmad, MA Khan, A Ullah - Optical and Quantum Electronics, 2024 - Springer
The investigation of optical solitons, a subject of significant interest in fibre optics and
communications due to its importance in signal transmission and data processing, is the …

Influence of the free parameters and obtained wave solutions from CBS equation

SMY Arafat, SMR Islam, MH Bashar - International Journal of Applied and …, 2022 - Springer
This manuscript investigates the exact travelling wave solutions of the (2+ 1)-dimensional
Calogero–Bogoyavlenskii–Schiff (CBS) equation. By employing the unified method, a large …

Stability analysis, phase plane analysis, and isolated soliton solution to the LGH equation in mathematical physics

SMR Islam, H Ahmad, K Khan, H Wang, MA Akbar… - Open Physics, 2023 - degruyter.com
In this article, we investigated the Landau–Ginzburg–Higgs (LGH) equation, focusing on the
analysis of isolated soliton solutions and their stability. To compute the isolated soliton …