Travelling wave for absorption-convection-diffusion equations

• Main Author: Ahmed Hamydy
• Format: Article
• Language: English
• Published: Texas State University 2006-08-01
• Series: Electronic Journal of Differential Equations
• Subjects: Travelling wave; phase-plane; diffusion; convection; absorption; asymptotic behavior.
• Online Access: http://ejde.math.txstate.edu/Volumes/2006/86/abstr.html

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.