A New Hierarchy Soliton Equations Associated with a Schrdinger Type Spectral Problem and the Corresponding Finite-dimensional Integrable System

Chinese Quarterly Journal of Mathematics ›› 2006, Vol. 21 ›› Issue (2): 220-228.

A New Hierarchy Soliton Equations Associated with a Schrdinger Type Spectral Problem and the Corresponding Finite-dimensional Integrable System

Department of Mathematics, Zhoukou Normal University, Zhoukou, 466000, China; Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China

Received:2004-12-10 Online:2006-06-30 Published:2023-12-06
About author:Xiuzhi Xing(1969-),female,native of Dancheng,Henan,a lectuer of Zhoukou Normal University, M.S.D.,engages in finite-dimensional integrable system.
Supported by:
Supported by NSF of China(10371113)；

Abstract

Abstract: By introducing a Schrodinger type spectral problem with four potentials, we derive a new hierarchy nonlinear evolution equations. Through the nonlinearization of eigenvalue problems, we get a new finite-dimensional Hamiltonian system, which is completely integrable in the Liouville sense.

Key words: lenard , operators, soliton hierarchy, Bargam , constraint, Hamiltonian , system

CLC Number:

O175

XING Xiu-zhi, WU Jing-zhu, GENG Xian-guo. A New Hierarchy Soliton Equations Associated with a Schrdinger Type Spectral Problem and the Corresponding Finite-dimensional Integrable System[J]. Chinese Quarterly Journal of Mathematics, 2006, 21(2): 220-228.

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A New Hierarchy Soliton Equations Associated with a Schrdinger Type Spectral Problem and the Corresponding Finite-dimensional Integrable System

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