Surfaces specified by integrable systems of partial differential equations determined by structure equations and Lax pair

JOURNAL OF GEOMETRY AND PHYSICS

卷:60

Article

Bracken, Paul

关键词: Integrable equation;    Surface;    Lax pair;    Structure equations;   

DOI  :  10.1016/j.geomphys.2009.12.004

来源: Elsevier

【 摘 要 】

A system of evolution equations can be developed from the structure equations for a submanifold embedded in a three-dimensional space. Iris seen how these same equations can be obtained from a generalized matrix Lax pair provided a single constraint equation is imposed. This can be done in Euclidean space as well as in Minkowski space. The integrable systems which result from this process can be thought of as generalizing the SO(3) and SO(2, 1) Lax pairs which have been studied previously. (C) 2010 Elsevier B.V. All rights reserved.

【 授权许可】

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