Results 51 to 60 of about 3,294 (150)

Closed-form travelling wave solutions to the nonlinear space-time fractional coupled Burgers’ equation

Arab Journal of Basic and Applied Sciences, 2019
Fractional order nonlinear evolution equations play important roles to give a depiction of the complex physical phenomena of real world. The main aim of this article is to extract exact analytic solutions to the space-time fractional coupled Burgers ...
M. Tarikul Islam, M. Ali Akbar, M. Abul Kalam Azad   +2 more
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Unveiling dynamic solitons in the (2+1)-dimensional Kadomtsev–Petviashvili equation: Insights from fluids and plasma

Partial Differential Equations in Applied Mathematics
In this study, we examine soliton solutions of extended (2+1)-dimensional Kadomtsev–Petviashvili equation arising in fluid mechanics and plasma physics.
Hamood Ur Rehman, Muhammad Tehseen, Hameed Ashraf, Aziz Ullah Awan, Mohamed R. Ali   +4 more
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Solitary Wave Solutions to a Fractional-Order Fokas Equation via the Improved Modified Extended Tanh-Function Approach

Mathematics
This research employs the improved modified extended tanh-function technique to explore several solitary wave solutions to the fractional-order Fokas equation.
M. B. Almatrafi
doaj   +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
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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

Quasi-periodic, strange chaotic behaviors, and soliton solutions of the (4+1)-dimensional Boiti-Leon-Manna-Pempinelli equation

Applied Mathematics in Science and Engineering
Soliton solutions and chaotic analysis in integrable equations have become a hot topic in recent years. This work presents the qualitative dynamics and analytical solutions of (4+1)-D Boiti-Leon-Manna-Pempinelli (BLMP) model.
Khaled Aldwoah, W. Eltayeb Ahmed, Mohammed Alsharafi, Alaa Mustafa, E. I. Hassan, Ria H. Egami   +5 more
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The Perturbed Chen–Lee–Liu Equation: Diverse Optical Soliton Solutions and Other Wave Solutions

Advances in Mathematical Physics
The objective of the present study is to extract the optical soliton solutions (OSSs) of the perturbed Chen–Lee–Liu equation by exerting three techniques, which are the extended Wang’s direct mapping method, tanh/coth function method and the Subequation ...
Kang-Jia Wang
doaj   +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
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The Solitary Travelling Wave Solutions of Some Nonlinear Partial Differential Equations Using the Modified Extended Tanh Function Method with Riccati Equation

Asian Research Journal of Mathematics, 2018
M El-Horbaty, F Ahmed
openaire   +1 more source

Advanced soliton structures and elliptic wave patterns in a sixth-order nonlinear Schrödinger equation using improved modified extended tanh function method. [PDF]

Sci Rep
Fahim MM, Ahmed HM, Dib KA, Samir I.
europepmc   +1 more source