| Well-Posedness for a New Two-Component Integrable System |
| Received:May 16, 2013 Revised:September 11, 2013 |
| Key Words:
Besov space two-component integrable system local well-posedness.
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| Fund Project:Supported by National Natural Science Foundation of China (Grant No.11371384). |
| Author Name | Affiliation | | Qiong LLONG | College of Mathematics and Statistics, Chongqing University, Chongqing 401331, P. R. China | | Chunlai MU | College of Mathematics and Statistics, Chongqing University, Chongqing 401331, P. R. China | | Pan ZHENG | College of Mathematics and Statistics, Chongqing University, Chongqing 401331, P. R. China | | Shouming ZHOU | College of Mathematics, Chongqing Normal University, Chongqing 401331, P. R. China |
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| Abstract: |
| In this paper, we consider a new two-component integrable system with cubic nonlinearity, which can be deduced by a curve flow and it is integrable with its Lax pair, bi-Hamiltonian structure, and infinitely many conservation laws. We mainly establish the local well-posedness of this system in a range of the Besov spaces $B^s_{p,r}$ with $s>\max\{2+\frac{1}{p},\frac{5}{2}\}$. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2014.03.012 |
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