Results 21 to 30 of about 140,469 (332)

Application of Bifurcation Method to the Generalized Zakharov Equations

open access: yesAbstract 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

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

open access: yesDiscrete 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

Instability and stability properties of traveling waves for the double dispersion equation [PDF]

open access: yes, 2002
In this article we are concerned with the instability and stability properties of traveling wave solutions of the double dispersion equation $~u_{tt} -u_{xx}+a u_{xxxx}-bu_{xxtt} = - (|u|^{p-1}u)_{xx}~$ for $~p>1$, $~a\geq b>0$.
H.A. Erbay   +21 more
core   +3 more sources

Extended G′G-expansion method for Calogero–Bogoyavlinskii–Schiff equation of fractional order

open access: yesJournal of Taibah University for Science, 2017
In this paper, we explore new applications of the extended G′G-expansion method. We apply this method to the nonlinear Calogero–Bogoyavlinskii–Schiff equation of fractional order.
Syed Tauseef Mohyud-Din, Fitnat Saba
doaj   +1 more source

Travelling Wave Solutions of the Schrödinger‐Boussinesq System [PDF]

open access: yesAbstract and Applied Analysis, 2012
We establish exact solutions for the Schrödinger‐Boussinesq System iut + uxx − auv = 0, , where a and b are real constants. The (G′/G)‐expansion method is used to construct exact periodic and soliton solutions of this equation. Our work is motivated by the fact that the (G′/G)‐expansion method provides not only more general forms of solutions but also ...
Kılıcman, Adem, Abazari, Reza
openaire   +4 more sources

Stationary Spacetime from Intersecting M-branes [PDF]

open access: yes, 2005
We study a stationary "black" brane in M/superstring theory. Assuming BPS-type relations between the first-order derivatives of metric functions, we present general stationary black brane solutions with a traveling wave for the Einstein equations in $D ...
Argurio   +56 more
core   +1 more source

Traveling Wave Solutions and Infinite-Dimensional Linear Spaces of Multiwave Solutions to Jimbo-Miwa Equation

open access: yesAbstract and Applied Analysis, 2014
The traveling wave solutions and multiwave solutions to (3 + 1)-dimensional Jimbo-Miwa equation are investigated in this paper. As a result, besides the exact bounded solitary wave solutions, we obtain the existence of two families of bounded periodic ...
Lijun Zhang, C. M. Khalique
doaj   +1 more source

Traveling waves in one-dimensional nonlinear models of strain-limiting viscoelasticity [PDF]

open access: yes, 2015
In this article we investigate traveling wave solutions of a nonlinear differential equation describing the behaviour of one-dimensional viscoelastic medium with implicit constitutive relations.
Erbay, H. A., Şengül, Y.
core   +2 more sources

The Bifurcations of Traveling Wave Solutions of the Kundu Equation

open access: yesJournal of Applied Mathematics, 2013
We use the bifurcation method of dynamical systems to study the bifurcations of traveling wave solutions for the Kundu equation. Various explicit traveling wave solutions and their bifurcations are obtained.
Yating Yi, Zhengrong Liu
doaj   +1 more source

Travelling-Wave Solutions for Wave Equations with Two Exponential Nonlinearities [PDF]

open access: yesZeitschrift für Naturforschung A, 2018
Abstract We use a simple method that leads to the integrals involved in obtaining the travelling-wave solutions of wave equations with one and two exponential nonlinearities. When the constant term in the integrand is zero, implicit solutions in terms of hypergeometric functions are obtained, while when that term is nonzero, all the ...
Stefan C. Mancas   +2 more
openaire   +2 more sources

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