INTEGRABLE SYSTEMS DETERMINED BY DIFFERENTIAL FORMS FOR MOVING FRAMES ON IMMERSED SUBMANIFOLDS

被引：0
|
作者：
Bracken, Paul [1 ]
机构：
[1] Univ Texas Pan Amer, Dept Math, Edinburg, TX 78541 USA
来源：
INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS | 2008年 / 5卷 / 07期
关键词：
Differential forms; surfaces; Lax pair; integrable system; structure equations; moving frame;
D O I：
10.1142/S021988780800317X
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
It is shown how a system of differential forms can reproduce the complete set of differential equations generated by an SO(m) matrix Lax pair. By selecting the elements in the given matrices appropriately, examples of integrable nonlinear equations can be produced. The SO(3) case is discussed in detail, then extended to an m-1 dimensional manifold immersed in Euclidean space.
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页码：1041 / 1049
页数：9
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