Travelling Wave Solutions of a Fourth Order Semi-linear Diiusion Equation
نویسندگان
چکیده
1. Introduction. In this paper we are interested in travelling wave solutions u = u(x; t)
منابع مشابه
\select@languageenglishtoc\string\select@languageenglishlof\string\select@languageenglishlot\string\select@ \select@languagedutchtoc\string\select@languagedutchlof\string\select@languagedutchlot\string\select@languag \select@languagegermantoc\string\select@languagegermanlof\string\select@languagegermanlot\string\select@la \select@languagefrancaistoc\string\select@languagefrancaislof\string\select@languagefrancaislot\string\select@la Travelling Wave Solutions of a Fourth Order Semi-linear Diiusion Equation
1. Introduction. In this paper we are interested in travelling wave solutions u = u(x; t) of the
متن کاملA Review of Travelling Wave Solutions
In this paper we review the existence of diierent types of travelling wave solutions u(x; t) = (x ? ct) of degenerate non-linear reaction-diiusion equations of the form u t = D(u)u x ] x + g(u) for diierent density-dependent diiusion coeecients D and kinetic part g. These include the non-linear degenerate generalized Fisher-KPP and the Nagumo equations. Also, we consider an equation whose diius...
متن کاملExact travelling wave solutions for some complex nonlinear partial differential equations
This paper reflects the implementation of a reliable technique which is called $left(frac{G'}{G}right)$-expansion ethod for constructing exact travelling wave solutions of nonlinear partial differential equations. The proposed algorithm has been successfully tested on two two selected equations, the balance numbers of which are not positive integers namely Kundu-Eckhaus equation and Derivat...
متن کاملThe modified simplest equation method and its application
In this paper, the modified simplest equation method is successfully implemented to find travelling wave solutions of the generalized forms $B(n,1)$ and $B(-n,1)$ of Burgers equation. This method is direct, effective and easy to calculate, and it is a powerful mathematical tool for obtaining exact travelling wave solutions of the generalized forms $B(n,1)$ and $B(-n,1)$ of Burgers equation and ...
متن کاملOn the Structure of Spectra of Modulated Travelling Waves
Modulated travelling waves are solutions to reaction-diiusion equations that are time-periodic in an appropriate moving coordinate frame. They may arise through Hopf bifurcations or essential instabilities from pulses or fronts. In this article, a framework for the stability analysis of such solutions is presented. The issue is to cast the reaction-diiusion equation as an ill-posed dynamical sy...
متن کامل