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Drinfeld-Sokolov-Satsuma-Hirota方程族及其广义双Hamiltonian结构

Drinfeld-Sokolov-Satsuma-Hirota Equations and Generalized Bi-Hamiltonian Structures
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摘要 基于带有两个位势的4×4矩阵谱问题,导出一族非线性演化方程,其中一个典型成员是Drinfeld-Sokolov-Sa-tsuma-H irota方程.进而证明了这族方程具有广义双Ham iltonian结构并且在Liuovlle意义下是完全可积的. A hierarchy of nonlinear evolution equations was derived from a matrix spectral problem with two potentials, in which a typical member was the Drinfeld-Sokolov-Satsuma-Hirota equation . It wasshown that the hierarchy of nonlinear evolution equations possessed the generalized bi-Hamihonian structures and was completely integrable in the Liuovlle sense.
作者 杨本朝 耿献国
机构地区 信息工程大学信息工程学院 郑州大学数学系
出处 《郑州大学学报（理学版）》 CAS 北大核心 2011年第3期31-33,37,共4页 Journal of Zhengzhou University:Natural Science Edition
关键词 Drinfeld-Sokolov-Satsuma-Hirota方程族 广义双Hamiltonian结构 可积性 Drinfeld-Sokolov-Satsuma-Hirota equations generalized bi-Hamihonian structures integrability
分类号 O175 [理学—基础数学]
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参考文献7

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郑州大学学报（理学版）
2011年 第3期

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