可积的与Hamilton形式的NLS-MKdV方程族 |
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引用本文: | 郭福奎. 可积的与Hamilton形式的NLS-MKdV方程族[J]. 数学学报, 1997, 40(6): 801-804. DOI: cnki:ISSN:0583-1431.0.1997-06-000 |
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作者姓名: | 郭福奎 |
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作者单位: | 山东矿业学院数学系 |
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摘 要: | 本文基于loop代数A2的一个特殊子代数,设计了一个等谱问题,应用屠规彰格式计算出一族具有Hamilton结构的可积系.此族含有非线性Schrdinger方程与修正的KdV方程,称之为NLS MKdV方程族
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关 键 词: | 可积系,广义Hamilton方程,loop代数,迹恒等式 |
收稿时间: | 1995-11-07 |
NLS MKdV Hierarchy of Equations that are Integrable and in the Hamiltonian Forms |
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Affiliation: | Guo Fukui(Department of Mathematics, Shandong Mining Institute, Tai'an 271019, China)) |
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Abstract: | Based on a special subalgebra of the loop algebra 2, an isospectral problem is designed and an integrable hierarchy of equations with the Hamiltonian structure is worked out by using the Tu Guizhang scheme. This hierarchy contains both the non-linear Schrdinger equation and the MKdV equation, and so is named the NLS-MKdV hierarchy. |
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Keywords: | Integrable system Generalized Hamiltonian equation Loop algebra Trace identity |
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