On the Cauchy problem for the two-component Camassa-Holm system (Q543310)

The authors consider a two-component Camassa-Holm system, which includes the Camassa-Holm equation itself as a special case. This system is known to be integrable and to have a physical interpretation. They consider the question of existence and uniqueness for the initial value problem of this system. They also investigate whether or not this system admits wave-breaking phenomena similar to that of the Camassa-Holm equation itself. The authors claim to improve previously-known results for the system.