| 陶司兴,夏铁成.超Broer-Kaup-Kupershmidt族的双非线性化[J].数学年刊A辑,2012,33(2):217~228 |
| 超Broer-Kaup-Kupershmidt族的双非线性化 |
| Binary Nonlinearization of Super Broer-Kaup-Kupershmidt Hierarchy |
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| DOI： |
| 中文关键词: 对称约束 双非线性化 超Broer-Kaup-Kupershmidt族 超有限维可积Hamilton系统 |
| 英文关键词:Symmetry constraint, Binary nonlinearization, Super Broer-Kaup-
Kupershmidt hierarchy, Super finite-dimensional integrable Hamil-
tonian system |
| 基金项目:国家自然科学基金，河南省教育厅科学技术重点研究基金，商丘师范学院青年科研基金 |
| Author Name | Affiliation | E-mail | | TAO Sixing | Department of Mathematics and Information Science, Shangqiu Normal Uni-
versity, Shangqiu 476000, Henan, China
Department of Mathematics, Shang-
hai University, Shanghai 200444, china | taosixing@163.com | | XIA Tiecheng | Department of Mathematics, Shanghai University, Shanghai 200444, china | xiatc@yahoo.com.cn |
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| 中文摘要: |
| 得出了超Broer-Kaup- Kupershmidt族Lax对的对称约束及其双非线性化.在得到的对称约束F,把超Broer- Kaup-Kupershmidt族的n阶流分解成定义在对应于动力变量x和tn的超对称流形上的两种超有限维可积Hamilton系统.此外,显式给出了Liouville可积性所需的运动积分. |
| 英文摘要: |
| The symmetry constraint and the binary nonlinearization of Lax pairs for super
Broer-Kaup-Kupershmidt hierarchy are obtained. Under the obtained symmetry constraint,
the n-th flow of the super Broer-Kaup-Kupershmidt hierarchy is decomposed into two super
finite-dimensional integrable Hamiltonian systems, defined over the super-symmetry man-
ifold with the corresponding dynamical variables x and tn. Furthermore, the integrals of
motion required for Liouville integrability are explicitly given. |
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