REDUCTIONS OF SELF-DUAL YANG-MILLS FIELDS AND CLASSICAL-SYSTEMS

被引:77
作者
CHAKRAVARTY, S [1 ]
ABLOWITZ, MJ [1 ]
CLARKSON, PA [1 ]
机构
[1] EXETER UNIV,DEPT MATH,EXETER EX4 4QE,ENGLAND
关键词
D O I
10.1103/PhysRevLett.65.1085
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
One-dimensional reductions of the self-dual Yang-Mills equations yield various classical systems depending on the choice of the Lie algebra associated with the self-dual fields. Included are the Euler-Arnold equations for rigid bodies in n dimensions, the Kovalevskaya top, and a generalization of the Nahm equation which is related to a classical third-order differential equation possessing a movable natural boundary in the complex plane. © 1990 The American Physical Society.
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页码:1085 / 1087
页数:3
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