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 …

[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] An innovative approach for develo** the precise traveling wave solutions to a family of 3D fractional WBBM equations

SN Ananna, PP Gharami, T An, W Liu… - … Differential Equations in …, 2023 - Elsevier
Abstract The Wazwaz–Benjamin–Bona–Mahony (WBBM) equations are solved in this paper
using an explicit and precise soliton method. In water wave mechanics, fluid dynamics …

A variety of optical soliton solutions in closed-form of the nonlinear cubic quintic Schrödinger equations with beta derivative

MM Haque, MA Akbar, H Rezazadeh… - Optical and Quantum …, 2023 - Springer
In the field of nonlinear optics, both fractional and classical-order nonlinear Schrödinger
(NS) equations are investigated. However, the fractional-order NS equation has gained …

Multi wave, kink, breather, interaction solutions and modulation instability to a conformable third order nonlinear Schrödinger equation

N Günhan Ay, E Yaşar - Optical and Quantum Electronics, 2023 - Springer
The purpose of this work is the examine the three-waves, double exponential, homoclinic
breather, and periodic cross kink-soliton solutions for a third-order fractional nonlinear …

Dynamical behavior of water wave phenomena for the 3D fractional WBBM equations using rational sine-Gordon expansion method

AA Mamun, C Lu, SN Ananna, MM Uddin - Scientific Reports, 2024 - nature.com
To examine the dynamical behavior of travelling wave solutions of the water wave
phenomenon for the family of 3D fractional Wazwaz-Benjamin-Bona-Mahony (WBBM) …

[HTML][HTML] Modulation instability, and dynamical behavior of solitary wave solution of time M-fractional clannish random Walker's Parabolic equation via two analytic …

MK Alaoui, M Uddin, MM Roshid, HO Roshid… - … Differential Equations in …, 2024 - Elsevier
The theory of solitary waves or solitons is crucial in nonlinear models due to their ability to
propagate without distortion, making them essential in fields like physics, biology …

[HTML][HTML] Diversity of soliton solutions to the (3+ 1)-Dimensional Wazwaz-Benjamin-Bona-Mahony equations arising in mathematical physics

M Shakeel, NB Turki, NA Shah, SM Tag - Results in Physics, 2023 - Elsevier
The current study scrutinizes exact singular solitary, kink, anti-kink, bell-shaped, and
periodic traveling wave solutions for the newly implemented 3-dimensional Wazwaz …