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Travelling-wave solutions to the Korteweg-de Vries-Burgers equation

Published online by Cambridge University Press:  14 November 2011

J. L. Bona  and
M. E. Schonbek
J. L. Bona
Affiliation:
Department of Mathematics, University of Chicago, Chicago, Illinois 60637, U.S.A
M. E. Schonbek
Affiliation:
Department of Mathematics, Duke University, Durham, North Carolina 27706, U.S.A
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Synopsis

The existence and certain qualitative properties of travelling-wave solutions to the Korteweg-de Vries-Burgers equation,

are established. The limiting behaviour of these waves, when ε tends to zero and when δ tends to zero is examined together with a singular limit wherein both ε and δ tend to zero.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 101 , Issue 3-4 , 1985 , pp. 207 - 226
Copyright
Copyright © Royal Society of Edinburgh 1985

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