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

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