| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 1896749 | Journal of Geometry and Physics | 2010 | 8 Pages |
Abstract
A system of evolution equations can be developed from the structure equations for a submanifold embedded in a three-dimensional space. It is 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)SO(3) and SO(2,1)SO(2,1) Lax pairs which have been studied previously.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Paul Bracken,