RESEARCH ARTICLE

Cauchy problem for an integrable three-component model with peakon solutions

  • Yongsheng MI , 1,2 ,
  • Chunlai MU 2
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  • 1. College of Mathematics and Computer Sciences, Yangtze Normal University, Fuling 408100, China
  • 2. College of Mathematics and Statistics, Chongqing University, Chongqing 401331, China

Received date: 24 Oct 2013

Accepted date: 25 Dec 2013

Published date: 24 Jun 2014

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg

Abstract

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.

Cite this article

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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