与薛丁谔型谱问题相联系的孤子族的分解 Decomposition of Soliton Hierarchy Associated with a Schrodinger Type Spectral Problem期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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与薛丁谔型谱问题相联系的孤子族的分解

引用本文：	邢秀芝,吴景珠,耿献国.与薛丁谔型谱问题相联系的孤子族的分解[J].数学季刊,2008,23(3).

作者姓名：	邢秀芝吴景珠耿献国

摘要：
关键词：	薛丁谔型谱问题孤子族分解方法特征值
Decomposition of Soliton Hierarchy Associated with a Schrodinger Type Spectral Problem

XING Xiu-zhi WU Jing-zhu GENG Xian-guo.Decomposition of Soliton Hierarchy Associated with a Schrodinger Type Spectral Problem[J].Chinese Quarterly Journal of Mathematics,2008,23(3).

Authors:	XING Xiu-zhi WU Jing-zhu GENG Xian-guo

Institution:	[1]Department of Mathematics, Zhoukou Normal University, Zhoukou 466000, China [2]Department of Mathematics, Zhengzhou University, Zhengzhou 450052, China

Abstract:	The soliton hierarchy associated with a Schrodinger type spectral problem with four potentials is decomposed into a class of new finite-dimensional Hamiltonian systems by using the nonlinearized approach.It is worth to point that the solutions for the soliton hierarchy are reduced to solving the compatible Hamiltonian systems of ordinary differential equations.

Keywords:	soliton hierarchy spectral problem Hamiltonian system
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