Travelling wave for absorption-convection-diffusion equations

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.