Symmetry Reduction of Exterior Differential Systems and Backlund Transformations for PDE in the Plane

Details Symmetry Reduction of Exterior Differential Systems and Backlund Transformations for PDE in the Plane Symmetry Reduction of Exterior Differential Systems and Backlund Transformations for PDE in the Plane

2011-10-26

arxiv.org/abs/1110.5777v1

Mathematics

Differential Geometry

28 pages

Scientific paper

We approach the construction of Backlund transformations for Darboux
integrable hyperbolic partial differential equations in the plane through the
reduction of exterior differential systems. For example it is shown that all
the Backlund transformations in arXiv:0707.4408v2 can be constructed using
symmetry reduction.

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