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On the Cauchy problem for a generalized Degasperis–Procesi equation
Xinglong Wu, Zhaoyang Yin
Source abstract
We mainly study the Cauchy problem of the generalized Degasperis–Procesi equation. First, we establish the local well posedness for the equation. Second, we give the precise blow-up scenario, a conservation law, and prove the equation has smooth solutions which blow up in finite time. Finally, we investigate the blow-up rate for the blow-up solutions.
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