Cauchy problem for an integrable three-component model with peakon solutions

Abstract

We are concerned with the Cauchy problem of the new integrable three-component system with cubic nonlinearity. We establish the local wellp-osedness in a range of the Besov spaces. Then the precise blow-up scenario for strong solutions to the system is derived.

Keywords

Besov space / Camassa-Holm type equation / local well-posedness

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