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Title

Long-time asymptotics of solutions to some nonlinear wave equations

Authors 1

Affiliations

  1. Instytut Matematyczny, Uniwersytet Wrocławski, Pl. Grunwaldzki 2/4, 50-384 Wrocław, Poland

Abstract

In this paper, we survey some recent results on the asymptotic behavior, as time tends to infinity, of solutions to the Cauchy problems for the generalized Korteweg-de Vries-Burgers equation and the generalized Benjamin-Bona-Mahony-Burgers equation. The main results give higher-order terms of the asymptotic expansion of solutions.

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Banach Center Publications
2000/52/1
Export to PBN, Opens in new tab
Pages:
133-146
Main language of publication
English
Published
2000
Exact and natural sciences