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• W2328015646 abstract "We study the initial value problem for the generalized cubic double dispersion equation in one space dimension. We establish a nonlinear approximation result to our global solutions that was obtained in [6]. Moreover, we show that as time tends to infinity, the solution approaches the superposition of nonlinear diffusion waves which are given explicitly in terms of the self-similar solution of the viscous Burgers equation. The proof is based on the semigroup argument combined with the analysis of wave decomposition." @default.
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• W2328015646 date "2013-01-01" @default.
• W2328015646 modified "2023-10-02" @default.
• W2328015646 title "Asymptotic behavior of solutions to the generalized cubic double dispersion equation in one space dimension" @default.
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• W2328015646 doi "https://doi.org/10.3934/krm.2013.6.969" @default.
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