[HTML][HTML] Soliton solutions to the Boussinesq equation through sine-Gordon method and Kudryashov method

MA Akbar, L Akinyemi, SW Yao, A Jhangeer… - Results in Physics, 2021 - Elsevier
The Boussinesq equation simulates weakly nonlinear and long wave approximation that can
be used in water waves, coastal engineering, and numerical models for water wave …

[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] Soliton solutions of fractional modified unstable Schrödinger equation using Exp-function method

A Zulfiqar, J Ahmad - Results in Physics, 2020 - Elsevier
An efficient technique, namely Exp-function method is used to construct the new exact
analytic solutions of universal problem fractional modified unstable Schrödinger equation …

Dynamics of a mechanical network consisting of discontinuous coupled system oscillators with strong irrational nonlinearities: Resonant states and bursting waves

AD Adile, F Kenmogne, AKS Tewa, H Simo… - International Journal of …, 2021 - Elsevier
The purpose of this work is the investigation of the dynamical behavior of a mechanical
network consisting of discontinuous elastically coupled system oscillators with strong …

[HTML][HTML] Dispersive long wave of nonlinear fractional Wu-Zhang system via a modified auxiliary equation method

M Khater, D Lu, RAM Attia - AIP Advances, 2019 - pubs.aip.org
In this paper, we examine a modified auxiliary equation method. We applied this novel
method on Wu-Zhang system. This model used to describe (1+ 1)-dimensional dispersive …

[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 …

Exact solutions of M-fractional Kuralay equation via three analytical schemes

A Zafar, M Raheel, MR Ali, Z Myrzakulova, A Bekir… - Symmetry, 2023 - mdpi.com
This article concerns new analytical wave solutions of the Kuralay-II equations (K-IIAE and K-
IIBE) with exploration of a new definition of the derivative. This model is used in various …

[HTML][HTML] Discovery of new exact wave solutions to the M-fractional complex three coupled Maccari's system by Sardar sub-equation scheme

AK Alsharidi, A Bekir - Symmetry, 2023 - mdpi.com
In this paper, we succeed at discovering the new exact wave solutions to the truncated M-
fractional complex three coupled Maccari's system by utilizing the Sardar sub-equation …

Exploring exact solitary wave solutions of Kuralay-II equation based on the truncated M-fractional derivative using the Jacobi Elliptic function expansion method

A Farooq, WX Ma, MI Khan - Optical and Quantum Electronics, 2024 - Springer
This paper focuses on the Kuralay-II equation, a prominent nonlinear evolutionary equation
used in various scientific fields. Our goal was to determine exact solutions to this equation by …

Solitary and periodic wave solutions to the family of new 3D fractional WBBM equations in mathematical physics

AA Mamun, NHM Shahen, SN Ananna… - Heliyon, 2021 - cell.com
For the newly implemented 3D fractional Wazwaz-Benjamin-Bona-Mahony (WBBM)
equation family, the present study explores the exact singular, solitary, and periodic singular …