Results 11 to 20 of about 136,660 (285)

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

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

Nonlinear Stability of Periodic Traveling Wave Solutions of the Generalized Korteweg-de Vries Equation [PDF]

, 2009
In this paper, we study the orbital stability for a four-parameter family of periodic stationary traveling wave solutions to the generalized Korteweg-de Vries equation.
Johnson, Mathew A.
core   +5 more sources

Minimal Wave Speed in a Predator-Prey System with Distributed Time Delay

Discrete Dynamics in Nature and Society, 2018
This paper is concerned with the minimal wave speed of traveling wave solutions in a predator-prey system with distributed time delay, which does not satisfy comparison principle due to delayed intraspecific terms.
Fuzhen Wu, Dongfeng Li
doaj   +1 more source

Asymptotic stability of traveling wave solutions for nonlocal viscous conservation laws with explicit decay rates [PDF]

, 2017
We consider scalar conservation laws with nonlocal diffusion of Riesz-Feller type such as the fractal Burgers equation. The existence of traveling wave solutions with monotone decreasing profile has been established recently (in special cases).
Achleitner, Franz, Ueda, Yoshihiro
core   +4 more sources

Application of Bifurcation Method to the Generalized Zakharov Equations

Abstract and Applied Analysis, 2012
We use the bifurcation method of dynamical systems to study the traveling wave solutions for the generalized Zakharov equations. A number of traveling wave solutions are obtained.
Ming Song
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

Numerical Study of Nonlinear Dispersive Wave Models with SpecTraVVave [PDF]

, 2016
In nonlinear dispersive evolution equations, the competing effects of nonlinearity and dispersion make a number of interesting phenomena possible. In the current work, the focus is on the numerical approximation of traveling-wave solutions of such ...
Kalisch, Henrik, Moldabayev, Daulet, Verdier, Olivier   +2 more
core   +3 more sources