Lump, soliton, and interaction solutions to a generalized two-mode higher-order nonlinear evolution equation in plasma physics
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 …
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
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 …
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
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 …
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
Abstract The (2+ 1)-dimensional Chaffee–Infante has a wide range of applications in
science and engineering, including nonlinear fiber optics, electromagnetic field waves …
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
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 …
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
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 …
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 …
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
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 …
equations has been arisen. Several real-valued dual-mode equations associated with well …
Lump collision phenomena to a nonlinear physical model in coastal engineering
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 …
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 …
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 …
Korsunsky's operators. The new model arises in the applications of nerve fibers and liquid …