Well-posedness and blow-up scenario   for a new integrable  four-component system with peakonsolutions

Yongsheng  Mi; Boling Guo; Chunlai Mu

doi:10.3934/dcds.2016.36.2171

Article Contents

2016, Volume 36, Issue 4: 2171-2191. Doi: 10.3934/dcds.2016.36.2171

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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
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: May 2017

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Abstract

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.

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Mathematics Subject Classification: 35B30, 35G25, 35A10, 35Q53.

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