Prorogation of waves in shallow water through unidirectional Dullin–Gottwald–Holm model; computational simulations

MMA Khater - International Journal of Modern Physics B, 2023 - World Scientific
This paper investigates novel solitary wave solutions of the unidirectional Dullin–Gottwald–
Holm model and employs the modified Khater (MKhat) method for studying the dynamical …

Bifurcation, chaos, and stability analysis to the second fractional WBBM model

MS Ullah, MZ Ali, HO Roshid - PloS one, 2024 - journals.plos.org
This manuscript investigates bifurcation, chaos, and stability analysis for a significant model
in the research of shallow water waves, known as the second 3D fractional Wazwaz …

[HTML][HTML] The improved modified extended tanh-function method to develop the exact travelling wave solutions of a family of 3D fractional WBBM equations

SN Ananna, PP Gharami, T An, M Asaduzzaman - Results in Physics, 2022 - Elsevier
The improved modified extended tanh-function (imETF) method is used to develop exact
traveling wave solutions of a family of 3D fractional Wazwaz-Benjamin-Bona-Mahony …

[HTML][HTML] Construction solitons for fractional nonlinear Schrödinger equation with β-time derivative by the new sub-equation method

W Razzaq, A Zafar, HM Ahmed, WB Rabie - Journal of Ocean Engineering …, 2022 - Elsevier
This article applies the new sub-equation method to derive soliton solutions and other
solutions for unstable and modified unstable nonlinear Schrödinger equations with β-time …

A new implementation of a novel analytical method for finding the analytical solutions of the (2+ 1)-dimensional KP-BBM equation

R Mia, MM Miah, MS Osman - Heliyon, 2023 - cell.com
In this work, we perform a comprehensive analytical study to find the novel exact traveling
wave solutions of the\(2+ 1\)-dimensional Kadomtsev-Petviashvili-Benjamin-Bona-Mahony …

[HTML][HTML] Sine-Gordon expansion method to construct the solitary wave solutions of a family of 3D fractional WBBM equations

SN Ananna, T An, M Asaduzzaman, MS Rana - Results in Physics, 2022 - Elsevier
Abstract The Sine-Gordon expansion (SGE) method is used to develop exact traveling wave
solutions of a family of 3D fractional Wazwaz-Benjamin-Bona-Mahony (WBBM) equations …

Dynamical behaviour of travelling wave solutions to the conformable time-fractional modified Liouville and mRLW equations in water wave mechanics

AA Mamun, SN Ananna, T An, NHM Shahen… - Heliyon, 2021 - cell.com
In this current study, we described a modified extended tanh-function (mETF) method to find
the new and efficient exact travelling and solitary wave solutions to the modified Liouville …

[HTML][HTML] On fractional order computational solutions of low-pass electrical transmission line model with the sense of conformable derivative

NHM Shahen, MM Rahman, AS Alshomrani… - Alexandria Engineering …, 2023 - Elsevier
In this study, we solve fractional order PDEs with free parameters that regulate wave motion
in a low-pass electrical transmission line equation (LPET) using the unified technique. To …

[HTML][HTML] Solitary wave structures of a family of 3D fractional WBBM equation via the tanh–coth​ approach

SN Ananna, T An, M Asaduzzaman, MM Miah - … Differential Equations in …, 2022 - Elsevier
The fractional nonlinear partial differential equation (FNLPDE), such as the family of 3D
fractional Wazwaz–Benjamin–Bona–Mahony (WBBM) equations, are investigated in this …

Unveiling optical soliton solutions and bifurcation analysis in the space–time fractional Fokas–Lenells equation via SSE approach

A Refaie Ali, MN Alam, MW Parven - Scientific Reports, 2024 - nature.com
The space–time fractional Fokas–Lenells (STFFL) equation serves as a fundamental
mathematical model employed in telecommunications and transmission technology …