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 …
[HTML][HTML] Novel investigations of dual-wave solutions to the Kadomtsev–Petviashvili model involving second-order temporal and spatial–temporal dispersion terms
Our work presents a novel insight into a higher dimensional Kadomtsev–Petviashvili (KP)
model, wherein we observe that the propagation of the proposed model is characterized by …
model, wherein we observe that the propagation of the proposed model is characterized by …
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] The amazing fractional Maclaurin series for solving different types of fractional mathematical problems that arise in physics and engineering
M Alquran - Partial Differential Equations in Applied Mathematics, 2023 - Elsevier
Many applications and natural phenomena in the fields of physics and engineering are
described by ordinary and partial differential equations. Therefore, obtaining solutions to …
described by ordinary and partial differential equations. Therefore, obtaining solutions to …
Generating new symmetric bi-peakon and singular bi-periodic profile solutions to the generalized doubly dispersive equation
M Alquran, T Al Smadi - Optical and Quantum Electronics, 2023 - Springer
This work aims to explore new bidirectional-wave solutions to the generalized doubly
dispersive equation through the use of two effective integration schemes: the modified …
dispersive equation through the use of two effective integration schemes: the modified …
Identifying combination of dark–bright binary–soliton and binary–periodic waves for a new two-mode model derived from the (2+ 1)-dimensional Nizhnik–Novikov …
In this paper, we construct a new two-mode model derived from the (2+ 1)-dimensional
Nizhnik–Novikov–Veselov (TMNNV) equation. We generalize the concept of Korsunsky to …
Nizhnik–Novikov–Veselov (TMNNV) equation. We generalize the concept of Korsunsky to …
[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 …
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 …
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 …
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 …