On the Geometry of Bäcklund Transformations

Details On the Geometry of Bäcklund Transformations On the Geometry of Bäcklund Transformations

2003-11-11

arxiv.org/abs/math/0311166v2

Nonlinear Physics: Theory and Experiment II; M.J. Ablowitz et al. eds., World Scientific Singapore (2003) 254-257

Mathematics

Analysis of PDEs

4 pages, Proc. Int. Workshop on Nonlinear Physics (Gallipoli, 2002), v2:comment field changed

Scientific paper

The geometry of an admissible B\"acklund transformation for an exterior
differential system is described by an admissible Cartan connection for a
geometric structure on a tower with infinite--dimensional skeleton which is the
universal prolongation of a $|1|$--graded semi-simple Lie algebra.

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