Integrable Systems of Partial Differential Equations Determined by Structure Equations and Lax pair

Details Integrable Systems of Partial Differential Equations Determined by Structure Equations and Lax pair Integrable Systems of Partial Differential Equations Determined by Structure Equations and Lax pair

2009-07-02

arxiv.org/abs/0907.0266v3

Phys.Lett.A374:501-503,2010

Physics

Mathematical Physics

8 pages

Scientific paper

10.1016/j.physleta.2009.11.042

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.

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