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

ZHANG Yu-feng; ZHANG Hong-qing

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Article Navigation > Applied Mathematics and Mechanics > 2002 > 23(1): 23-30

ZHANG Yu-feng, ZHANG Hong-qing. A Family of Integrable Systems of Liouville and Lax Representation, Darboux Transformations for its Constrained Flows[J]. Applied Mathematics and Mechanics, 2002, 23(1): 23-30.

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

ZHANG Yu-feng^1,2,
ZHANG Hong-qing²

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

Received Date: 2000-10-16
Rev Recd Date: 2001-09-28
Publish Date: 2002-01-15

Abstract

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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References(5)

References

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