Blow-up criteria for a two-component Camassa–Holm type system with cubic nonlinearity
摘要
This paper considers the Cauchy problem of a two-component Camassa–Holm type system with cubic nonlinearity, which is a two-component integrable extension of the modified Camassa–Holm equation. We establish the local well-posedness result for this Cauchy problem in Sobolev spaces. Further, we give two blow-up criteria for strong solutions to the system.