Integrable Systems of Partial Differential Equations Determined by Structure Equations and Lax pair
Mathematical Physics
2011-04-07 v3 math.MP
Abstract
It is shown how a system of evolution equations can be developed both from the structure equations of a submanifold embedded in three-space as well as from a matrix SO(6) Lax pair. The two systems obtained this way correspond exactly when a constraint equation is selected and imposed on the system of equations. This allows the coefficients of the second fundamental form to be selected in a more general way so they need not be constants.
Cite
@article{arxiv.0907.0266,
title = {Integrable Systems of Partial Differential Equations Determined by Structure Equations and Lax pair},
author = {Paul Bracken},
journal= {arXiv preprint arXiv:0907.0266},
year = {2011}
}
Comments
8 pages