# Long-time asymptotics of solutions to some nonlinear wave equations

Banach Center Publications (2000)

- Volume: 52, Issue: 1, page 133-146
- ISSN: 0137-6934

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topKarch, Grzegorz. "Long-time asymptotics of solutions to some nonlinear wave equations." Banach Center Publications 52.1 (2000): 133-146. <http://eudml.org/doc/209051>.

@article{Karch2000,

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.},

author = {Karch, Grzegorz},

journal = {Banach Center Publications},

keywords = {Cauchy problems; generalized Korteweg-de Vries-Burgers equation; generalized Benjamin-Bona-Mahony-Burgers equation; higher-order terms of the asymptotic expansion},

language = {eng},

number = {1},

pages = {133-146},

title = {Long-time asymptotics of solutions to some nonlinear wave equations},

url = {http://eudml.org/doc/209051},

volume = {52},

year = {2000},

}

TY - JOUR

AU - Karch, Grzegorz

TI - Long-time asymptotics of solutions to some nonlinear wave equations

JO - Banach Center Publications

PY - 2000

VL - 52

IS - 1

SP - 133

EP - 146

AB - 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.

LA - eng

KW - Cauchy problems; generalized Korteweg-de Vries-Burgers equation; generalized Benjamin-Bona-Mahony-Burgers equation; higher-order terms of the asymptotic expansion

UR - http://eudml.org/doc/209051

ER -

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