Publication Date:
2015-05-26
Description:
We mainly study the Cauchy problem of modified Camassa–Holm and Degasperis–Procesi equations. First, we establish the local well-posedness for the equation in Besov space. Secondly, we derive the conservation laws and a precise blow-up scenario. Moreover, we prove the existence of blow-up solutions and obtain its blow-up rate, provided the initial data satisfy certain conditions. Finally, we present the persistence properties of the equation.
Print ISSN:
0272-4960
Electronic ISSN:
1464-3634
Topics:
Mathematics