WELL-POSEDNESS AND PEAKON SOLUTIONS FOR A HIGHER ORDER CAMASSA-HOLM TYPE EQUATION
In this paper,we delve into a generalized higher order Camassa-Holm type equa-tion,(or,an ghmCH equation for short).We establish local well-posedness for this equation under the condition that the initial data uo belongs to the Sobolev space Hs(R)for some s＞7/2.In addition,we obtain the weak formulation of this equation and prove the existence of both single peakon solution and a multi-peakon dynamic system.
Generalized higher order Camassa-Holm type equationLocal well-posednessPeakon
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