Differential and Integral Equations
- Differential Integral Equations
- Volume 11, Number 1 (1998), 85-93.
Asymptotic behaviour of solutions to the Korteweg-de Vries-Burgers equation
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.
Differential Integral Equations, Volume 11, Number 1 (1998), 85-93.
First available in Project Euclid: 1 May 2013
Permanent link to this document
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 35Q53: KdV-like equations (Korteweg-de Vries) [See also 37K10]
Secondary: 35B40: Asymptotic behavior of solutions 76D33: Waves
Nishihara, Kenji; Rajopadhye, Shubha V. Asymptotic behaviour of solutions to the Korteweg-de Vries-Burgers equation. Differential Integral Equations 11 (1998), no. 1, 85--93. https://projecteuclid.org/euclid.die/1367414136