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Asymptotic behaviour in time of solutions to some equations generalizing the Korteweg-de Vries-Burgers equation. (English) Zbl 0581.35071

We summarize the results of a more detailed paper concerning the decay estimates for the solutions to equations describing the propagation of nonlinear waves which generalize the Korteweg-de Vries and Burgers equation.

MSC:

35Q99 Partial differential equations of mathematical physics and other areas of application
35B40 Asymptotic behavior of solutions to PDEs
35G25 Initial value problems for nonlinear higher-order PDEs
35A05 General existence and uniqueness theorems (PDE) (MSC2000)
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