[HTML][HTML] Traveling wave solutions for the fractional Wazwaz–Benjamin–Bona–Mahony model in arising shallow water waves

U Akram, AR Seadawy, STR Rizvi, M Younis… - Results in Physics, 2021 - Elsevier
In this manuscript, we employed an extended modified auxiliary equation mapping
(EMAEM) method to the 3D fractional Wazwaz–Benjamin–Bona–Mahony equation (WBBM) …

A novel approach to find exact solutions of fractional evolution equations with non-singular kernel derivative

MS Hashemi - Chaos, Solitons & Fractals, 2021 - Elsevier
This work is devoted to the time fractional differential equations (TFDEs) with the Atangana-
Baleanu-Riemann (ABR) fractional derivative and their analytical solutions. We generalize …

The first integral method for modified Benjamin–Bona–Mahony equation

S Abbasbandy, A Shirzadi - Communications in Nonlinear Science and …, 2010 - Elsevier
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[HTML][HTML] New exact solitary wave solutions for the 3D-FWBBM model in arising shallow water waves by two analytical methods

M Bilal, J Ahmad - Results in Physics, 2021 - Elsevier
In this article, we investigate the exact solitary wave solutions to the 3D fractional Wazwaz-
Benjamin-Bona-Mahony (3D-FWBBM) equation in emerging shallow-water waves. Different …

[HTML][HTML] Sensitive visualization of the fractional Wazwaz-Benjamin-Bona-Mahony equation with fractional derivatives: a comparative analysis

N Raza, A Jhangeer, RU Rahman, AR Butt, YM Chu - Results in Physics, 2021 - Elsevier
In this paper, we interrogate the optical soliton solutions of three-dimensional fractional
Wazwaz Benjamin Bona Mahony (WBBM) equation. With a new auxiliary equation scheme …

[HTML][HTML] Investigation of shallow water waves and solitary waves to the conformable 3D-WBBM model by an analytical method

M Bilal, U Younas, HM Baskonus, M Younis - Physics Letters A, 2021 - Elsevier
In this article, we elucidate the dynamical behavior of exact solitary waves to the
conformable 3D Wazwaz-Benjamin-Bona-Mahony (3D-WBBM) equation emerging in …

[HTML][HTML] Fractional derivative-based performance analysis to Caudrey–Dodd–Gibbon–Sawada–Kotera equation

A Jhangeer, H Almusawa, RU Rahman - Results in Physics, 2022 - Elsevier
This paper explores the innovative soliton solutions to the fractional Caudrey–Dodd–Gibbon–
Sawada–Kotera (CDGSK) equation with Beta and Atangana–Baleanu (AB) fractional …

Dynamics of exact solitary wave solutions to the conformable time-space fractional model with reliable analytical approaches

M Bilal, J Ren - Optical and Quantum Electronics, 2022 - Springer
This article elucidates the dynamical behavior of exact solitary waves to the conformable
three dimensional Wazwaz-Benjamin-Bona-Mahony (3D-WBBM) equation with its spatial …

Novel traveling wave solutions for the fractal Zakharov–Kuznetsov–Benjamin–Bona–Mahony model

K Wang - Fractals, 2022 - World Scientific
In this paper, the fractal Zakharov–Kuznetsov–Benjamin–Bona–Mahony model (FZKBBM) is
studied based on the local fractional derivative sense on Cantor sets for the first time. The …

Convergence and stability in maximum norms of linearized fourth-order conservative compact scheme for Benjamin–Bona–Mahony–Burgers' equation

Q Zhang, L Liu - Journal of Scientific Computing, 2021 - Springer
In the paper, a newly developed three-point fourth-order compact operator is utilized to
construct an efficient compact finite difference scheme for the Benjamin–Bona–Mahony …