一族与薛定谔型谱问题相联系的新的孤子方程及其相应的有限维可积系统

数学季刊 ›› 2006, Vol. 21 ›› Issue (2): 220-228.

一族与薛定谔型谱问题相联系的新的孤子方程及其相应的有限维可积系统

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

收稿日期:2004-12-10 出版日期:2006-06-30 发布日期:2023-12-06
作者简介:Xiuzhi Xing(1969-),female,native of Dancheng,Henan,a lectuer of Zhoukou Normal University, M.S.D.,engages in finite-dimensional integrable system.
基金资助:
Supported by NSF of China(10371113)；

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)；

摘要/Abstract

摘要： 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.

关键词: lenard , operators, soliton hierarchy, Bargam , constraint, Hamiltonian , system

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

中图分类号:

O175

邢秀芝, 吴景珠, 耿献国. 一族与薛定谔型谱问题相联系的新的孤子方程及其相应的有限维可积系统[J]. 数学季刊, 2006, 21(2): 220-228.

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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