| 一类二元可积系统的适定性问题研究 |
| |
| 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 |
| |
| 作者姓名： | 龙琼 穆春来 张攀 周寿明 |
| |
| 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 |
| |
| 基金项目： | 国家自然科学基金(Grant No.11371384). |
| |
| 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}.
|
| 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： | 2013-05-16 |
| 修稿时间： | 2013-09-11 |
Well-Posedness for a New Two-Component Integrable System |
| |
| 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 |
| |
| Authors: | Qiong LLONG Chunlai MU Pan ZHENG Shouming ZHOU |
| |
| Affiliation: | 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 |
| |
| 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 $s>max{2+frac{1}{p},frac{5}{2}}$. |
| |
| Keywords: | Besov space two-component integrable system local well-posedness. |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《数学研究及应用》浏览原始摘要信息 |
|
点击此处可从《数学研究及应用》下载全文 |
|
