| 新的耦合mKdV方程族及其Liouville可积的无限维Hamilton结构 |
| |
| 引用本文： | 闫振亚,张鸿庆. 新的耦合mKdV方程族及其Liouville可积的无限维Hamilton结构[J]. 应用数学, 2000, 13(2): 37-40 |
| |
| 作者姓名： | 闫振亚 张鸿庆 |
| |
| 作者单位： | 大连理工大学数学科学研究所,辽宁,大连,116024 |
| |
| 基金项目： | 国家重点基础研究规划和博士点基金资助课题!(980 14119) |
| |
| 摘 要： | 根据第Ⅱ屠格式，从一个特征值问题出发，本文推得了一族新的耦合ｍＫｄＶ方程，然后用迹恒等式人出了其无限维Ｈａｍｉｌｔｏｎ结构。最后证明了该Ｈａｍｉｌｔｏｎ方程族是Ｌｉｏｕｖｉｌｌｅ可积的，并且有无穷多个彼此对合的公共守恒密度。
|
| 关 键 词： | Liouville可积 哈密顿结构 耦合mKdV方程 |
| 修稿时间： | 1999-06-11 |
New Hierarchy of Coupled mKdV Equations and its Liouville Integrable Infinite Demensional Hamiltonian Structure |
| |
| YAN Zheng-ya,ZHANG Hong-qing. New Hierarchy of Coupled mKdV Equations and its Liouville Integrable Infinite Demensional Hamiltonian Structure[J]. Mathematica Applicata, 2000, 13(2): 37-40 |
| |
| Authors: | YAN Zheng-ya ZHANG Hong-qing |
| |
| Abstract: | In this paper, according to the second Tu's scheme, a new hierarchy of coupled mkdv equations is obtained from a isospectral problem. And then its infinite dimensional Hamiltonian structures are derived by using trace identity. Finally, it is shown that this hierarchy of equations is Liouville integrable and has a infinite set of common conserved denities which are in involution each another. |
| |
| Keywords: | Isospectral problem Hierarchy of coupled mKdV equations Hamiltonian structure Liouville integrable Conserved denity |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
