Results 11 to 20 of about 140,469 (332)

Travelling wave solutions of generalized coupled Zakharov–Kuznetsov and dispersive long wave equations

Results in Physics, 2016
In this manuscript, we constructed different form of new exact solutions of generalized coupled Zakharov–Kuznetsov and dispersive long wave equations by utilizing the modified extended direct algebraic method.
M. Arshad, Aly Seadawy, Dianchen Lu, Jun Wang   +3 more
doaj   +3 more sources

The generalized Kudryashov method to obtain exact traveling wave solutions of the PHI-four equation and the Fisher equation

Results in Physics, 2017
In recent years, searching exact traveling wave solutions to nonlinear evolution equations (NLEEs) has become a remarkable topic of research. In this article, we obtain exact traveling wave solutions of two significant NLEEs, namely, the PHI-four ...
Forhad Mahmud, Md Samsuzzoha, M. Ali Akbar   +2 more
doaj   +3 more sources

General traveling wave solutions of the strain wave equation in microstructured solids via the new approach of generalized (G′/G)-expansion method

Alexandria Engineering Journal, 2014
The new approach of generalized (G′/G)-expansion method is significant, powerful and straightforward mathematical tool for finding exact traveling wave solutions of nonlinear evolution equations (NLEEs) arise in the field of engineering, applied ...
Md. Nur Alam, Md. Ali Akbar, Syed Tauseef Mohyud-Din   +2 more
doaj   +3 more sources

Applications of exact traveling wave solutions of Modified Liouville and the Symmetric Regularized Long Wave equations via two new techniques

Results in Physics, 2018
In this current work, we employ novel methods to find the exact travelling wave solutions of Modified Liouville equation and the Symmetric Regularized Long Wave equation, which are called extended simple equation and exp(-Ψ(ξ))-expansion methods.
Dianchen Lu, Aly R. Seadawy, Asghar Ali
doaj   +3 more sources

Exact Traveling Wave Solutions in Viscoelastic Channel Flow [PDF]

Physical Review Letters, 2020
Elasto-inertial turbulence (EIT) is a new, two-dimensional chaotic flow state observed in polymer solutions with possible connections to inertialess elastic turbulence and drag-reduced Newtonian turbulence. In this Letter, we argue that the origins of EIT are fundamentally different from Newtonian turbulence by finding a dynamical connection between ...
Jacob Page, Yves Dubief, Rich R. Kerswell   +2 more
openaire   +4 more sources

Minimal Wave Speed in a Competitive Integrodifference System without Comparison Principle

Mathematics, 2019
We investigate the traveling wave solutions of a competitive integrodifference system without comparison principle. In the earlier conclusions, a threshold of wave speed is defined while the existence or nonexistence of traveling wave solutions remains ...
Luping Li, Shugui Kang, Lili Kong, Huiqin Chen   +3 more
doaj   +1 more source

Nematicons in liquid crystals with Kerr Law by sub-equation method

Alexandria Engineering Journal, 2022
In this study, trigonometric and hyperbolic type traveling wave solutions are produced by using the sub-equation analytical method by taking into account the Kerr Law properties of the equation defining nematic liquid crystals.
Serbay Duran, Bayhan Karabulut
doaj   +1 more source

Existence and Nonexistence of Traveling Wave Solutions for a Reaction–Diffusion Preys–Predator System with Switching Effect

Advances in Mathematical Physics, 2023
In this paper, we are concerned with traveling wave solutions for two preys–one predator system with switching effect. First, we discuss that there is no traveling wave solution for this system by using linearization method.
Hang Zhang, Yujuan Jiao, Jinmiao Yang
doaj   +1 more source

FUNCTIONAL EXPANSIONS FOR FINDING TRAVELING WAVE SOLUTIONS

Journal of Applied Analysis & Computation, 2020
Summary: The paper proposes a generalized analytic approach which allows to find traveling wave solutions for some nonlinear PDEs. The solutions are expressed as functional expansions of the known solutions of an auxiliary equation. The proposed formalism integrates classical approaches as tanh method or \(G^{\prime}/G\) method, but it open the ...
Ionescu, Carmen, Constantinescu, Radu, Stoicescu, Mihail   +2 more
openaire   +2 more sources

The Application of the Functional Variable Method for Solving the Loaded Non-linear Evaluation Equations

Frontiers in Applied Mathematics and Statistics, 2022
In this article, we construct exact traveling wave solutions of the loaded Korteweg-de Vries, the loaded modified Korteweg-de Vries, and the loaded Gardner equation by the functional variable method.
Bazar Babajanov, Fakhriddin Abdikarimov
doaj   +1 more source