| 一类二元可积系统的适定性问题研究 |
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| 引用本文： | 龙琼,穆春来,张攀,周寿明.一类二元可积系统的适定性问题研究[J].数学研究及应用,2014,34(3):349-361. |
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| 作者姓名： | 龙琼 穆春来 张攀 周寿明 |
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| 作者单位： | 重庆大学数学与统计学院, 重庆 401331;重庆大学数学与统计学院, 重庆 401331;重庆大学数学与统计学院, 重庆 401331;重庆师范大学数学学院, 重庆 401331 |
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| 基金项目： | 国家自然科学基金(Grant No.11371384). |
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| 摘 要： | 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 p,r ^s with s〉max {2＋1/p,5/2}.
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| 关 键 词： | 可积系统 双组分 适定性 双Hamilton结构 Besov空间 立方非线性 流动曲线 Lax对 |
| 收稿时间： | 2013/5/16 0:00:00 |
| 修稿时间： | 2013/9/11 0:00:00 |
Well-Posedness for a New Two-Component Integrable System |
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| Qiong LLONG,Chunlai MU,Pan ZHENG and Shouming ZHOU.Well-Posedness for a New Two-Component Integrable System[J].Journal of Mathematical Research with Applications,2014,34(3):349-361. |
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| Authors: | Qiong LLONG Chunlai MU Pan ZHENG and Shouming ZHOU |
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| Institution: | College of Mathematics and Statistics, Chongqing University, Chongqing 401331, P. R. China;College of Mathematics and Statistics, Chongqing University, Chongqing 401331, P. R. China;College of Mathematics and Statistics, Chongqing University, Chongqing 401331, P. R. China;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 $s>\max\{2+\frac{1}{p},\frac{5}{2}\}$. |
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| Keywords: | Besov space two-component integrable system local well-posedness |
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