%0 Journal Article
%T Travelling wave for absorption-convection-diffusion equations
%A Ahmed Hamydy
%J Electronic Journal of Differential Equations
%D 2006
%I Texas State University
%X In this paper, we use the phase plane method for finding finite travelling waves solutions for the diffusion-absorption-convection equation $$ u_t=A(|u_x|^{p-2}u_{x})_x+B(u^n)_x-Cu^q, quad (x,t)in mathbb{R}imes mathbb{R}^{+}. $$ We show that the existence of solutions which depends on the parameters $p$, $q$ and $n$. Also we study the asymptotic behavior of these solutions.
%K Travelling wave
%K phase-plane
%K diffusion
%K convection
%K absorption
%K asymptotic behavior.
%U http://ejde.math.txstate.edu/Volumes/2006/86/abstr.html