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April  2016, 36(4): 2171-2191. doi: 10.3934/dcds.2016.36.2171

## Well-posedness and blow-up scenario for a new integrable four-component system with peakon solutions

 1 Institute of Applied Physics and Computational Mathematics, Beijing 100088, China 2 Institute of Applied Physics & Computational Math., Beijing 100088 3 College of Mathematics and Statistics, Chongqing University, Chongqing 401331

Received  February 2015 Revised  March 2015 Published  September 2015

In this paper, we are concerned with the Cauchy problem of the new integrable four-component system with cubic nonlinearity. We establish the local well-posedness in a range of the Besov spaces. Then the precise blow-up scenario for strong solutions to the system is derived.
Citation: Yongsheng Mi, Boling Guo, Chunlai Mu. Well-posedness and blow-up scenario for a new integrable four-component system with peakon solutions. Discrete & Continuous Dynamical Systems - A, 2016, 36 (4) : 2171-2191. doi: 10.3934/dcds.2016.36.2171
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