(2+1)维非线性薛定锷方程的无限维李代数及其可积性

THE INFINITE-DIMENSIONAL LIE ALGEBRAS AND INTEGRABILITY OF A NON-LINEAR SCHRDINGER EQUATIONS IN (2+1)DIMENSIONS

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摘要用延拓 ( Prolongation)方法讨论 ( 2 + 1 )维非线性薛定锷方程的隐对称结构及其可积性 .给出了它的无限维李代数表示。 The hidden symmetry and the integrability of a non liear Schro¨dinger equation in (2+1)dimensions are considered by a prolongation approach. The internal algebraic structures and their linear spectra are derived in detail theortically.$$$$

作者赵学庆吕景发陆开一

机构地区南开大学物理科学学院

出处《南开大学学报（自然科学版）》 CAS CSCD 北大核心 2002年第1期74-77,共4页 Acta Scientiarum Naturalium Universitatis Nankaiensis

基金国家自然科学基金 ( 1 91 5 5 0 0 1 )

关键词延拓方法隐对称结构可积性 (2+1)维非线性薛定锷方程无限维李代数非线性光学物理 Prolongation Approach Hidden Structures Integrability

分类号 O437 [机械工程—光学工程] O411.1 [理学—理论物理]

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南开大学学报（自然科学版）

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(2+1)维非线性薛定锷方程的无限维李代数及其可积性

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