Backlund Transformations and Darboux Integrability for Nonlinear Wave Equations
Exterior Differential Systems and the Method of Equivalence
May 06,2008 11:00 AM to 12:00 PM
Speakers:
Ivey, Thomas
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Abstract: |
A Backlund transformation between two EDS is a common integrable extension; here, we consider transformations between hyperbolic Monge-Ampere (MA) systems defined by 6-dimensional double fibration over two 5-manifolds. We show that a hyperbolic MA system is linked by such a Backlund transformation to the standard wave equation if and only if the MA system is Darboux-integrable after one prolongation. This is joint work with Jeanne Clelland. |
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