| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1894502 | Journal of Geometry and Physics | 2007 | 23 Pages |
Abstract
In this paper, motions of non-stretching curves in some Klein geometries, determined by the transformation groups acting on S1×RS1×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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Weifeng Wo, Changzheng Qu,