## Differential and Integral Equations

### Asymptotic behaviour of solutions to the Korteweg-de Vries-Burgers equation

#### Abstract

In this work we study the asymptotic behaviour of solutions to the Korteweg--deVries--Burgers equation in the case when the initial data has different asymptotic limits at $\pm\infty .$ The method used is the one developed by Kawashima and Matsumura to discuss the asymptotic behaviour of travelling-wave solutions to Burgers equation.

#### Article information

Source
Differential Integral Equations, Volume 11, Number 1 (1998), 85-93.

Dates
First available in Project Euclid: 1 May 2013