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Displaying similar documents to “A note on the qualitative behaviour of some second order nonlinear differential equations.”

Long-time asymptotics of solutions to some nonlinear wave equations

Grzegorz Karch (2000)

Banach Center Publications

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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.