Electronic Journal of Differential Equations,
Vol. 2006(2006), No. 86, pp. 1-9.

Title: Travelling wave for absorption-convection-diffusion 
       equations

Author: Ahmed Hamydy (Univ. Abdelmalek Essaadi, Tetouan, Maroc)
	 
Abstract: 
 In this paper, we use the phase plane method
 for finding finite travelling waves solutions for the
 diffusion-absorption-convection equation
 $$
 u_t=A(|u_x|^{p-2}u_{x})_x+B(u^n)_x-Cu^q, \quad
  (x,t)\in \mathbb{R}\times \mathbb{R}^{+}.
 $$
 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.

Submitted April 5, 2006. Published August 2,2006.
Math Subject Classifications: 35K55, 35K65.
Key Words: Travelling wave; phase-plane; diffusion; convection;
           absorption; asymptotic behavior.