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On an integrable Camassa-Holm type equation with cubic nonlinearity. (English) Zbl 1353.35063

Summary: We discuss an integrable Camassa-Holm type equation with cubic nonlinearity. Asymptotic profile has been shown in the sense that strong solutions arising from algebraic decaying initial data will keep this property at infinity in the spatial variable in its lifespan. Moreover, for a global solution, measure of potential support is presented.

MSC:

35B40 Asymptotic behavior of solutions to PDEs
35G25 Initial value problems for nonlinear higher-order PDEs
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References:

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