Construction of the numerical and analytical wave solutions of the Joseph–Egri dynamical equation for the long waves in nonlinear dispersive systems

AR Alharbi, MB Almatrafi… - International Journal of …, 2020 - World Scientific
The Kudryashov technique is employed to extract several classes of solitary wave solutions
for the Joseph–Egri equation. The stability of the achieved solutions is tested. The numerical …

[HTML][HTML] Multi-soliton solutions of the Sawada-Kotera equation using the Hirota direct method: Novel insights into nonlinear evolution equations

AKMKS Hossain, MA Akbar - Partial Differential Equations in Applied …, 2023 - Elsevier
Recently, mathematicians, engineers, and scientists have explored the unique
characteristics and potential applications of multi-solitons, which is an expanding domain of …

[HTML][HTML] Obliquely propagating optical wave patterns to the (2+ 1)-dimensional chiral nonlinear Schrödinger equation in the absence and presence of Atangana …

KMA Al Woadud, D Kumar, AR Khan - Results in Physics, 2023 - Elsevier
The study aims to explore obliquely propagating optical wave solutions to the (2+ 1)-
dimensional chiral nonlinear Schrödinger (NLS) equation in both the absence and presence …

[PDF][PDF] Solitary wave solutions of few nonlinear evolution equations

A Hossain, MA Akbar - AIMS Mathematics, 2020 - researchgate.net
Solitary wave solutions of few nonlinear evolution equations Page 1 AIMS Mathematics, 5(2):
1199–1215. DOI: 10.3934/math.2020083 Received: 08 October 2019 Accepted: 05 January …

[HTML][HTML] Analytical solutions to the (2+ 1)-dimensional cubic Klein–Gordon equation in the presence of fractional derivatives: A comparative study

KMA Al Woadud, MJ Islam, D Kumar… - … Differential Equations in …, 2024 - Elsevier
The study seeks to obtain new analytical solutions for the (2+ 1)-dimensional cubic Klein–
Gordon (cKG) equation using the beta derivative. By applying the unified method to the …

Modified simple equation technique for first-extended fifth-order nonlinear equation, medium equal width equation and Caudrey–Dodd–Gibbon equation

AKMKS Hossain, MA Akbar, MI Hossain - … of Umm Al-Qura University for …, 2024 - Springer
In order to figure out the interior construction and intricacy of nonlinear physical events in the
real world, exact solutions and traveling wave solutions of the nonlinear equations are very …

Multiple wave solutions for nonlinear burgers equations using the multiple exp-function method

KA Gepreel, EME Zayed - International Journal of Modern Physics …, 2021 - World Scientific
In this paper, we use the multiple exp-function method to explicity present traveling wave
solutions, double-traveling wave (DTW) solutions and triple-traveling wave solutions (TWs) …

Exact and soliton solutions of nonlinear evolution equations in mathematical physics using the generalized (G′/G)-expansion approach

AKMKS Hossain, MK Islam, H Akter, MA Akbar - Physica Scripta, 2024 - iopscience.iop.org
The nonlinear evolution equations play a significant role in applied mathematics, including
ordinary and partial differential equations, which are frequently used in many disciplines of …

Travelling Wave Solutions of a Time Regularised Long Wave Equation Associated With the Korteweg‐de Viries Equation in Fluid Dynamics

E Çelik - Advances in Mathematical Physics, 2025 - Wiley Online Library
In this paper, we investigate the physical significance of the time regularised long wave
(TRLW) equation within the realm of mathematics. Other varieties of travelling wave …