New investigation of the analytical behaviors for some nonlinear PDEs in mathematical physics and modern engineering

AH Ganie, LH Sadek, MM Tharwat, MA Iqbal… - … Differential Equations in …, 2024 - Elsevier
Numerous complex situations arising from science and engineering are modeled by integral-
differential equations (IDEs). Examples of these situations include mathematical modeling of …

Further advanced investigation of the complex Hirota-dynamical model to extract soliton solutions

MM Rasid, MM Miah, AH Ganie, HM Alshehri… - … Physics Letters B, 2024 - World Scientific
The complex Hirota-dynamical model (CHDM) has applications in the study of plasma
physics, the investigation of fusion energy, astrophysical research, and space studies. The …

[HTML][HTML] Soliton solutions and fractional effects to the time-fractional modified equal width equation

MH Bashar, M Inc, SMR Islam, KH Mahmoud… - Alexandria Engineering …, 2022 - Elsevier
The one-dimensional long water wave propagation in a nonlinear medium, including the
dispersion process, is well simulated by the fractional-order modified equal-width (MEW) …

An investigation of two integro-differential KP hierarchy equations to find out closed form solitons in mathematical physics

MA Iqbal, MM Miah, MM Rasid… - Arab Journal of Basic …, 2023 - Taylor & Francis
Nonlinear partial differential equations (NLPDEs) are widely utilized in engineering and
physical research to represent many physical processes of naturalistic occurrences. In this …

A study on stochastic longitudinal wave equation in a magneto-electro-elastic annular bar to find the analytical solutions

MM Miah, MA Iqbal, MS Osman - Communications in Theoretical …, 2023 - iopscience.iop.org
A study on stochastic longitudinal wave equation in a magneto-electro-elastic annular bar to find
the analytical solutions - IOPscience Skip to content IOP Science home Accessibility Help …

[HTML][HTML] Abundant closed form wave solutions to some nonlinear evolution equations in mathematical physics

MM Miah, AR Seadawy, HMS Ali, MA Akbar - Journal of Ocean Engineering …, 2020 - Elsevier
The propagation of waves in dispersive media, liquid flow containing gas bubbles, fluid flow
in elastic tubes, oceans and gravity waves in a smaller domain, spatio-temporal rescaling of …

[HTML][HTML] Analytical behavior of the fractional Bogoyavlenskii equations with conformable derivative using two distinct reliable methods

KS Nisar, OA Ilhan, J Manafian, M Shahriari, D Soybaş - Results in Physics, 2021 - Elsevier
The nonlinear fractional model, videlicet, the space–time fractional (2+ 1)-dimensional
fractional Bogoyavlenskii equations is an important nonlinear mathematical model to …

Dynamical analysis of long-wave phenomena for the nonlinear conformable space-time fractional (2+ 1)-dimensional AKNS equation in water wave mechanics

NHM Shahen, MH Bashar, MS Ali - Heliyon, 2020 - cell.com
The main intension of this paper is to extract new and further general analytical wave
solutions to the (2+ 1)-dimensional fractional Ablowitz-Kaup-Newell-Segur (AKNS) equation …

[PDF][PDF] New exact solutions for the Kaup-Kupershmidt equation

M Inc, M Miah, SA Akher Chowdhury, H Rezazadeh… - Aims Math, 2020 - aimspress.com
We present new exact solutions for the (1+ 1)-dimensional Kaup-Kupershmidt (KK) equation
by employing method of double (G/G, 1/G)-expansion. We express solutions by hyperbolic …

[HTML][HTML] An investigation to the nonlinear (2+ 1)-dimensional soliton equation for discovering explicit and periodic wave solutions

MA Chowdhury, MM Miah, HMS Ali, YM Chu… - Results in Physics, 2021 - Elsevier
In this paper, the double (G'/G, 1/G)-expansion method is employed to establish explicit
general solutions of the nonlinear (2+ 1)-dimensional soliton equation. A variety of exact …