Backlund Transformations for Darboux Integrable Differential Systems

2011/08/27 by Ian M. Anderson, Mark E. Fels, Anderson, Ian M. +1 · 2 citations
Mathematics · #35A30 #58A15 #58A17 #58J72 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:35A30 #msc:58A15 #msc:58A17 #msc:58J72

paper · pdf · doi:10.48550/arxiv.1108.5443

61 pages

arxiv created 2014/07/10 · arxiv updated 2014/07/14

Abstract

We give a new mechanism for constructing Backlund transformations by using symmetry reduction of differential systems. We then characterize a family of Backlund transformations between Darboux integrable systems where the Backlund transformation can be constructed by the proposed symmetry reduction method.

Cited by

• Nonlocal pseudosymmetries and Bäcklund transformations as C-morphisms
• Backlund Transformations for Darboux Integrable Differential Systems: Examples and Applications

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