Results 41 to 50 of about 1,038 (120)

Unraveling novel wave structures and modulation instability for the (3＋1)-dimensional fifth-order nonlinear Wazwaz equation

Alexandria Engineering Journal
This study presents a comprehensive investigation of the (3＋1)-dimensional fifth-order nonlinear Wazwaz equation (3D-WAZWAZe), addressing its significant role in modeling complex wave phenomena in systems exhibiting strong nonlinearity, high-order ...
G.M. Ashry, Hamdy M. Ahmed, K.A. Dib, Ahmed G. Ghallab, Wafaa B. Rabie   +4 more
doaj   +1 more source

Investigating innovative optical solitons for a (3+1)- dimensional nonlinear Schrödinger’s equation under the influences of 4th-order dispersive and parabolic law of nonlinearities

Results in Optics
This study tackles a nonlinear Schrödinger’s equation in three dimensions, using three dispersive components of fourth order, often resulting in pure-quartic solitons.
Abeer S. Khalifa, Hamdy M. Ahmed, Niveen M. Badra, Wafaa B. Rabie, Homan Emadifar   +4 more
doaj   +1 more source

Analysis of the dynamical behaviors for the generalized Bogoyavlvensky–Konopelchenko equation and its analytical solutions occurring in mathematical physics

Ain Shams Engineering Journal
In the domains of fluid mechanics, hydrodynamics, and marine engineering, Bogoyavlensky–Konopelchenko equations are of great interest to mathematicians and physicists as a means of illuminating the diverse dynamics of non-linear wave events.
Karim K. Ahmed, Hisham H. Hussein, Hamdy M. Ahmed, Wafaa B. Rabie, Wassim Alexan   +4 more
doaj   +1 more source

On some novel lump interactions and soliton structures for the KdV-CDG model in fluids

Boundary Value Problems
This study investigates the Korteweg-de Vries-Caudrey-Dodd-Gibbon (KdV-CDG) equation, a significant nonlinear dynamical model that arises in fluid mechanics, ocean wave propagation, and plasma physics. Understanding exact wave structures of this model is
Kalim U. Tariq, R. Nadir Tufail, Mohammed Ahmed Alomair, Luai Abdulla Aldoghan   +3 more
doaj   +1 more source

Innovative Solitary Wave Solutions for the (3+1)-Dimensional Boussinesq Kadomtsev-Petviashvili-Type Equation Derived via the Improved Modified Extended Tanh-Function Method

European Journal of Pure and Applied Mathematics
The goal of this research is to create and analyze a novel (3+1) dimensional model that incorporates two different equations: a three-dimensional Kadomtsev-Petviashvili equation and a three-dimensional Boussinesq-KP-type equation. One of the unexpected outcomes of the idea of mixing integrable equations is a resonance of solitons. This paper presents a
Wael W. Mohammed, Abeer Khalifa, Hijyah Alshammari, Hamdy M. Ahmed, Mohamed S. Algolam, Reda Elbarougy, Karim Ahmed   +6 more
openaire   +1 more source

Novel analytical superposed nonlinear wave structures for the eighth-order (3+1)-dimensional Kac-Wakimoto equation using improved modified extended tanh function method

AIMS Mathematics
<p>Higher-order nonlinear partial differential equations, such as the eighth-order Kac-Wakimoto model, are useful for studying wave turbulence in fluids, where energy transfers across a range of wave numbers. This phenomenon is observed in oceanographic research involving sea surface and internal waves, where intricate multi-dimensional ...
Wafaa B. Rabie, Hamdy M. Ahmed, Taher A. Nofal, E. M. Mohamed   +3 more
openaire   +2 more sources

Analytical investigation of soliton dynamics in the Fokas-Lenells equation with generalized self-phase modulation and nonlinear dispersion. [PDF]

Sci Rep
Rehman HU, Khushi K, Yildirim Y, Allahyani SA, Gusu DM.   +4 more
europepmc   +1 more source

Bifurcation and solitary wave solutions of a time-dependent paraxial equation using improved modified extended tanh function method

AIMS Mathematics
Arooma Zainab, Muhammad Abbas, Yagoub A. S. Arko, Alina Alb Lupas, Tahir Nazir, Muhammad Zain Yousaf   +5 more
openaire   +1 more source

On certain novel numerical and analytical solutions for the pure-cubic Schrödinger equation in optical fibers with Kerr nonlinearity. [PDF]

Sci Rep
Tariq KU, Khan R, Alsharidi AK, Almusallam N.   +3 more
europepmc   +1 more source

Unraveling solitons dynamics in system of dispersive NLSE with Kudryashov's law of nonlinearity using improved modified extended tanh function method

Alexandria Engineering Journal
Islam Samir, Eman Salah, Emad Abo El-Dahab, Hamdy M. Ahmed, Medhat Ammar, Wassim Alexan, Hisham H. Hussein   +6 more
openaire   +1 more source