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

I. M. Anderson; M. E. Fels

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arXiv · 1110.5777

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

I. M. Anderson·M. E. Fels

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Abstract

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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BibTeX RIS

I. M. Anderson, M. E. Fels. 2011-10-26. Symmetry Reduction of Exterior Differential Systems and Backlund Transformations for PDE in the Plane. https://arxiv.org/abs/1110.5777

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