Lump, soliton, and interaction solutions to a generalized two-mode higher-order nonlinear evolution equation in plasma physics

S Kumar, B Mohan, R Kumar - Nonlinear Dynamics, 2022 - Springer
This article investigates a nonlinear fifth-order partial differential equation (PDE) in two-
mode waves. The equation generalizes two-mode Sawada-Kotera (tmSK), two-mode Lax …

Dynamics of lump collision phenomena to the (3+ 1)-dimensional nonlinear evolution equation

TA Sulaiman, A Yusuf, A Abdeljabbar… - Journal of Geometry and …, 2021 - Elsevier
The lump solutions have been shown to be one of the most effective solutions for nonlinear
evolution problems. The resilient Hirota bilinear method is used to evaluate the integrable …

[HTML][HTML] Dynamics of two-mode Sawada-Kotera equation: Mathematical and graphical analysis of its dual-wave solutions

D Kumar, C Park, N Tamanna, GC Paul, MS Osman - Results in Physics, 2020 - Elsevier
New dual-wave soliton solutions are addressed for the two-mode Sawada-Kotera (TmSK)
equation arising in fluids by the modified Kudryashov and new auxiliary equation methods …

[HTML][HTML] Breather waves, analytical solutions and conservation laws using Lie–Bäcklund symmetries to the (2+ 1)-dimensional Chaffee–Infante equation

A Yusuf, TA Sulaiman, A Abdeljabbar… - Journal of Ocean …, 2023 - Elsevier
Abstract The (2+ 1)-dimensional Chaffee–Infante has a wide range of applications in
science and engineering, including nonlinear fiber optics, electromagnetic field waves …

Heart-cusp and bell-shaped-cusp optical solitons for an extended two-mode version of the complex Hirota model: application in optics

M Alquran, I Jaradat, A Yusuf, TA Sulaiman - Optical and Quantum …, 2021 - Springer
In this work, we present a new two-mode version to the complex Hirota equation. This new
model arises in many applications in the field of optics, communications and other …

Construction of solitary two-wave solutions for a new two-mode version of the Zakharov-Kuznetsov equation

I Jaradat, M Alquran - Mathematics, 2020 - mdpi.com
A new two-mode version of the generalized Zakharov-Kuznetsov equation is derived using
Korsunsky's method. This dynamical model describes the propagation of two-wave solitons …

[HTML][HTML] Convex-periodic, kink-periodic, peakon-soliton and kink bidirectional wave-solutions to new established two-mode generalization of Cahn–Allen equation

M Alquran, R Alhami - Results in Physics, 2022 - Elsevier
In this paper, the evolutionary Cahn–Allen equation is upgraded into the generalized two-
mode version via Korsunsky's sense. The new established model is characterized in terms …

Dark and singular optical solutions with dual-mode nonlinear Schrödinger's equation and Kerr-law nonlinearity

I Jaradat, M Alquran, S Momani, A Biswas - Optik, 2018 - Elsevier
Recently, a new family of nonlinear physical models under the name of dual-mode nonlinear
equations has been arisen. Several real-valued dual-mode equations associated with well …

Lump collision phenomena to a nonlinear physical model in coastal engineering

TA Sulaiman, A Yusuf, AS Alshomrani, D Baleanu - Mathematics, 2022 - mdpi.com
In this study, a dimensionally nonlinear evolution equation, which is the integrable shallow
water wave-like equation, is investigated utilizing the Hirota bilinear approach. Lump …

Kink-soliton, singular-kink-soliton and singular-periodic solutions for a new two-mode version of the Burger–Huxley model: applications in nerve fibers and liquid …

M Alquran, TA Sulaiman, A Yusuf - Optical and Quantum Electronics, 2021 - Springer
New two-mode version of the generalized Burger–Huxley equation is derived using
Korsunsky's operators. The new model arises in the applications of nerve fibers and liquid …