Analysis of lumps, single-stripe, breather-wave, and two-wave solutions to the generalized perturbed-KdV equation by means of Hirota's bilinear method
M Alquran, R Alhami - Nonlinear Dynamics, 2022 - Springer
In this paper, we implement the Hirota's bilinear method to extract diverse wave profiles to
the generalized perturbed-KdV equation when the test function approaches are taken into …
the generalized perturbed-KdV equation when the test function approaches are taken into …
New solitary wave solutions for variants of (3+ 1)-dimensional Wazwaz-Benjamin-Bona-Mahony equations
We solve distinct forms of (3+ 1)-Dimensional Wazwaz-Benjamin-Bona-Mahony [(3+ 1)-
Dimensional WBBM] equations by employing the method of Sardar-subequation. When …
Dimensional WBBM] equations by employing the method of Sardar-subequation. When …
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 …
The RKHS method for numerical treatment for integrodifferential algebraic systems of temporal two-point BVPs
O Abu Arqub, H Rashaideh - Neural Computing and Applications, 2018 - Springer
Many problems arising in different fields of sciences and engineering can be reduced, by
applying some appropriate discretization, either to a system of integrodifferential algebraic …
applying some appropriate discretization, either to a system of integrodifferential algebraic …
[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 …
New kink-periodic and convex–concave-periodic solutions to the modified regularized long wave equation by means of modified rational trigonometric–hyperbolic …
The significance of different types of periodic solutions in nonlinear equations is vital across
various practical applications. Our objective in this study was to uncover novel forms of …
various practical applications. Our objective in this study was to uncover novel forms of …
Exploring exact solitary wave solutions of Kuralay-II equation based on the truncated M-fractional derivative using the Jacobi Elliptic function expansion method
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 …
used in various scientific fields. Our goal was to determine exact solutions to this equation by …
[HTML][HTML] 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] 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 …
New bidirectional wave solutions with different physical structures to the complex coupled Higgs model via recent ansatze methods: applications in plasma physics …
M Alquran, A Alqawaqneh - Optical and Quantum Electronics, 2022 - Springer
It is known that nonlinear equations of first-order in time-derivative propagate in a form of
moving single-wave, while other equations of second-order in time propagate as moving two …
moving single-wave, while other equations of second-order in time propagate as moving two …