Frontiers of Mathematics in China >
Cauchy problem for an integrable three-component model with peakon solutions
Received date: 24 Oct 2013
Accepted date: 25 Dec 2013
Published date: 24 Jun 2014
Copyright
We are concerned with the Cauchy problem of the new integrable three-component system with cubic nonlinearity. We establish the local wellp-osedness in a range of the Besov spaces. Then the precise blow-up scenario for strong solutions to the system is derived.
Key words： Besov space; Camassa-Holm type equation; local well-posedness
Yongsheng MI , Chunlai MU . Cauchy problem for an integrable three-component model with peakon solutions[J]. Frontiers of Mathematics in China, 2014 , 9(3) : 537 -565 . DOI: 10.1007/s11464-014-0365-7
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