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Exterior Differential Systems and the Method of Equivalence |
| May 05, 2008 to May 09, 2008 |
| Organized By: Jeanne Clelland, William F. Shadwick (Chair) and George Wilkens |
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| Return to Workshop Description |
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Backlund Transformations and Darboux Integrability for Nonlinear Wave Equations
Wednesday May 7, 2008
11:00AM - 12:00PM
Speakers:
Thomas Ivey
Abstract:
Backlund Transformations and Darboux Integrability for Nonlinear Wave Equations
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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