Results 41 to 50 of about 1,351 (136)

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

Wave Dynamics in Design: The Role of Nonlinear Potential Burgers’ Equation With Variable Coefficients

Advances in Mathematical Physics
This paper investigates exact solutions of the potential Burgers equation with variable coefficients (PBEVCs), contributing to communication engineering, nonlinear acoustics, and fluid mechanics.
Xiuchuan He, Hui Xiong, Jianming Qi, Yiqun Sun   +3 more
doaj   +1 more source

Revealing solitons in magneto-optic waveguides for a system of stochastic nonlinear Schrödinger equations with parabolic-nonlocal law of refractive index

Alexandria Engineering Journal
This research investigates the effect of white noise on the waves propagated in magneto-optic waveguides. A coupled system of stochastic nonlinear Schrödinger equations (NLSEs) with the parabolic-nonlocal law of refractive index is used to mimic the ...
Mohamed A. El-bassiouny, Hamdy M. Ahmed, Mona A. Abdel-Khalek, F.N. El-Gammal, Salah B. Doma   +4 more
doaj   +1 more source

Characterizing stochastic solitons behavior in (3+1)-dimensional Schrödinger equation with Cubic–Quintic nonlinearity using improved modified extended tanh-function scheme

Physics Open
An extended version of (3+1)-dimensional non-linear Schrödinger equation that has a cubic–quintic nonlinear component under the stochastic effects is examined in this investigation. Several stochastic exact solutions of this model is acquired through the
Karim K. Ahmed, Hamdy M. Ahmed, Mohammed F. Shehab, Tarek A. Khalil, Homan Emadifar, Wafaa B. Rabie   +5 more
doaj   +1 more source

Comparison between the (G’/G) - expansion method and the modified extended tanh method

Open Physics, 2016
In this paper, firstly, we give a connection between well known and commonly used methods called the (G'G)$\left( {{{G'} \over G}} \right)$ -expansion method and the modified extended tanh method which are often used for finding exact solutions of ...
Akçaği Şamil, Aydemir Tuğba
doaj   +1 more source

Navigating waves: Advancing ocean dynamics through the nonlinear Schrödinger equation

Nonlinear Engineering
The nonlinear Schrödinger equation, held in high regard in the realms of plasma physics, fluid mechanics, and nonlinear optics, reverberates deeply within the field of ocean engineering, imparting profound insights across a plethora of phenomena.
Iqbal Ifrah, Boulaaras Salah Mahmoud, Rehman Hamood Ur, Saleem Muhammad Shoaib, Chou Dean   +4 more
doaj   +1 more source

Soliton dynamics and multistability analysis of the Hamiltonian amplitude model

Results in Physics
This work delivers the soliton outcomes through the 1G′ scheme, the modified extended tanh-function (METF) method, and the 1G,G′G approach to the Hamiltonian amplitude (HA) model.
Rabeya Akter
doaj   +1 more source

Analytical wave solutions and bifurcation analysis for optical pulse propagation in resonant nonlinear Schrödinger equation using improved modified extended tanh function method

Beni-Suef University Journal of Basic and Applied Sciences
Background The study of optical pulse propagation through nonlinear media plays a fundamental role in the development of modern fiber-optic communication systems.
Amany Tarek, Hamdy Ahmed, Niveen Badra, Islam Samir   +3 more
doaj   +1 more source

Bifurcation Analysis and Soliton Behavior of New Combined Kairat-II-X Differential Equation Using Analytical Methods

Mathematics
The exact analytical solutions of a new combined Kairat-II-X differential equation are presented. The related model is investigated by combining the enhanced modified extended tanh function method and the modified tan(ϕ/2)-expansion method.
Jun Zhang, Haifa Bin Jebreen, Rzayeva Nuray   +2 more
doaj   +1 more source

Invariant formulation of nonclassical symmetries and explicit solutions of Rosenau-Hyman equation along with bifurcation analysis

Partial Differential Equations in Applied Mathematics
This study focuses on the Rosenau–Hyman equation, which is a fundamental model in nonlinear wave dynamics, and investigates it through the lens of nonclassical symmetry analysis.
M.A. El-Shorbagy, Sonia Akram, Mati Ur Rahman, Hossam A. Nabwey   +3 more
doaj   +1 more source