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Homogeneous Backlund transformations of hyperbolic Monge-Ampere systems

J. N. Clelland
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Abstract

A Backlund transformation between two hyperbolic Monge-Ampere systems may be described as a certain type of exterior differential system on a 6-dimensional manifold B. The transformation is homogeneous if the group of symmetries of the system acts transitively on B. We give a complete classification of homogeneous Backlund transformations between hyperbolic Monge-Ampere systems.

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J. N. Clelland. 2001-11-19. Homogeneous Backlund transformations of hyperbolic Monge-Ampere systems. https://arxiv.org/abs/math/0111208

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