一族Liouville可积系及其约束流的Lax表示、Darboux变换

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基金项目: 国家重点基础科学研究项目(G1998030600)

A Family of Integrable Systems of Liouville and Lax Representation, Darboux Transformations for its Constrained Flows

1.
Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, P R China;
2.
Basic Courses Department, Shandong University of Sciecne and Technology, Tai'an, Shangdong 271019, P R China

摘要: 利用屠规彰格式求出了一族Liouville可积系,通过高阶位势特征函数约束将可积系分解成x部分和t_n部分可积Hamilton系统,求出了该系统的Lax表示及三类Darboux变换。
- 可积系 /
- 位势特征函数约束 /
- Lax表示 /
- Darboux变换
Abstract: A family of integrable systems of Liouville are obtained by Tu pattern.Using higher-order potential-eigenfuction constraints,the integrable systems are fact orized to two x-and t_n-integrable Hamiltonian systems whose Lax representation and three kinds of Darboux transformations are presented.
- integrable system /
- potential-eigenfuction constraint /
- Lax representation /
- Darboux transformation

[1]	TU Gui-zhang.The trace identity, a powerful tool for constructing the Hamiltonian structure of integrable systems[J].JMath Phys, 1989,30(2):330-338.
[2]	郭福奎.Loop代数A₁的子代数与Hamilton方程族[J].数学物理学报,1999,19(5):507-5l2.
[3]	ZENG Yun-bo.New factorization of the Kaup-Newell hierarchy[J].Physica D,1994,73(6):171-188.
[4]	ZENG Yun-bo, LIYi-shen.The Lax representation and Darboux transfirmations for constrained flowsof the AKNS hieranty[J].Acta Matjematics Sinica NeWeries, 1996,12(2):217-224.
[5]	ZENG Yun-bo.An approach to the deduction of the finite-dimensional integrabilty from infinite-dimensional integrability[J].Pnys Letters A, 1991,160(4):541-547.