A novel integration approach to study the perturbed Biswas-Milovic equation with Kudryashov's law of refractive index

M Mirzazadeh, A Akbulut, F Taşcan, L Akinyemi - Optik, 2022 - Elsevier
Modelling the movement of waves and the propagation of waves is extremely important in
the field of fluid dynamics. All types of waves phenomena are very important in real-life …

Regarding the shallow water in an ocean via a Whitham-Broer-Kaup-like system: hetero-Bäcklund transformations, bilinear forms and M solitons

XY Gao, YJ Guo, WR Shan - Chaos, Solitons & Fractals, 2022 - Elsevier
Considering the water waves, people have investigated many systems. In this paper, what
we study is a Whitham-Broer-Kaup-like system for the dispersive long waves in the shallow …

Symbolic computation on a (2+ 1)-dimensional generalized variable-coefficient Boiti–Leon–Pempinelli system for the water waves

XY Gao, YJ Guo, WR Shan - Chaos, Solitons & Fractals, 2021 - Elsevier
Water waves attract people's attention. For the water waves, a (2+ 1)-dimensional
generalized variable-coefficient Boiti–Leon–Pempinelli system is hereby studied. As for the …

[HTML][HTML] Abundant closed-form wave solutions to the simplified modified Camassa-Holm equation

SMR Islam, SMY Arafat, H Wang - Journal of Ocean Engineering and …, 2023 - Elsevier
Abstract The simplified modified Camassa-Holm (SMCH) equation is an important nonlinear
model equation for identifying various wave phenomena in ocean engineering and science …

[HTML][HTML] Diverse analytical wave solutions of plasma physics and water wave equations

SMR Islam, S Khan, SMY Arafat, MA Akbar - Results in Physics, 2022 - Elsevier
In plasma physics and water waves, the Gilson-Pickering equation is an important
unidirectional wave propagation model. A large number of analytic wave solutions have …

[HTML][HTML] Specific wave structures of a fifth-order nonlinear water wave equation

K Hosseini, M Mirzazadeh, S Salahshour… - Journal of Ocean …, 2022 - Elsevier
Investigated in the present paper is a fifth-order nonlinear evolution (FONLE) equation,
known as a nonlinear water wave (NLWW) equation, with applications in the applied …

Effect of the free parameters on the Biswas-Arshed model with a unified technique

SMR Islam, MH Bashar, SMY Arafat, H Wang… - Chinese Journal of …, 2022 - Elsevier
The solitary dynamics of the Biswas–Arshed (BA) model without self-phase modulation are
investigated in the present study. To compensate for the deserted small group velocity …

A novel scheme for SMCH equation with two different approaches

A Akbulut, R Islam, Y Arafat… - … Methods for Differential …, 2023 - cmde.tabrizu.ac.ir
In this study, the unified and improved F-expansion methods are applied to derive exact
traveling wave solutions of the simplified modified Camassa-Holm (SMCH) equation. The …

Soliton Solutions to the BA Model and (3 + 1)‐Dimensional KP Equation Using Advanced exp(−ϕ(ξ))‐Expansion Scheme in Mathematical Physics

HZ Mawa, SMR Islam, MH Bashar… - Mathematical …, 2023 - Wiley Online Library
In this manuscript, the primary motivation is the implementation of the advanced exp (− ϕ (ξ))‐
expansion method to construct the soliton solution, which contains some controlling …

New exact solitary solutions of the (2+ 1)-dimensional Heisenberg ferromagnetic spin chain equation

S Sahoo, A Tripathy - The European Physical Journal Plus, 2022 - Springer
In this paper, the newly ascertained analytical solutions of the (2+ 1)-dimensional
Heisenberg ferromagnetic spin chain equation has been studied. The novel analytical …