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


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.