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 …

Soliton solutions of Klein–Fock–Gordon equation using Sardar subequation method

HU Rehman, I Iqbal, S Subhi Aiadi, N Mlaiki… - Mathematics, 2022 - mdpi.com
The Klein–Fock–Gordon equation (KFGE), defined as the equation of relativistic wave
related to NLEEs, has numerous implications for energy particle physics and is useful as a …

[HTML][HTML] Novel waves structures for two nonlinear partial differential equations arising in the nonlinear optics via Sardar-subequation method

N Ullah, MI Asjad, A Hussanan, A Akgül… - Alexandria Engineering …, 2023 - Elsevier
In this paper, our aim is to construct the novel wave structures for two non-linear evolution
equations which are rising in non-linear optics, mathematical biological models, fluid …

[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 …

[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 …

[HTML][HTML] A non-linear study of optical solitons for Kaup-Newell equation without four-wave mixing

HU Rehman, AU Awan, KA Abro, ESMT El Din… - Journal of King Saud …, 2022 - Elsevier
Nonlinear science is a fundamental science frontier that include studies and the common
properties of nonlinear phenomena. This article is devoted to the study of sub-pico second …

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] Analytical solitary wave solutions of a time-fractional thin-film ferroelectric material equation involving beta-derivative using modified auxiliary equation …

X Wang, H Ehsan, M Abbas, G Akram, M Sadaf… - Results in Physics, 2023 - Elsevier
The main objective of current paper is to examine the impacts of fractional parameters on the
dynamic response of soliton waves in a nonlinear time-fractional thin-film ferroelectric …