Integrable motions of curves in S1xR

JOURNAL OF GEOMETRY AND PHYSICS

卷:57

Article

Wo, Weifeng ; Qu, Changzheng

关键词: integrable equation;    invariant geometric flow;    Klein geometry;    differential invariant;   

DOI  :  10.1016/j.geomphys.2007.02.006

来源: Elsevier

【 摘 要 】

In this paper, motions of non-stretching curves in some Klein geometries, determined by the transformation groups acting on S-1 x R, are studied. It is shown that several 1 + 1-dimensional integrable equations including the KdV, mKdV, defocusing mKdV, Sawada-Kotera, Burgers equations and their hierarchies arise naturally from motions of non-stretching curves in such geometries. (c) 2007 Elsevier B.V. All rights reserved.

【 授权许可】

Free