Differential and Integral Equations

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

Kenji Nishihara and Shubha V. Rajopadhye

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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

Permanent link to this document
https://projecteuclid.org/euclid.die/1367414136

Mathematical Reviews number (MathSciNet)
MR1607992

Zentralblatt MATH identifier
1007.35085

Subjects
Primary: 35Q53: KdV-like equations (Korteweg-de Vries) [See also 37K10]
Secondary: 35B40: Asymptotic behavior of solutions 76D33: Waves

Citation

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


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