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The study on solutions to Camassa-Holm equation with weak dissipation
This paper investigates the existence of solution on the weak
dissipative Camassa-Holm equation, and studies the dynamical
behaviors of the solution for this equation. An interesting result
is given that the solution for the Cauchy problem on weak
dissipative Camassa-Holm equation is local under certain conditions.
Moreover, discussions on solitary solution to weak dissipation
Camassa-Holm equation are given.