Homogeneous Backlund transformations of hyperbolic Monge-Ampere systems

2001/11/19 by Jeanne N. Clelland, Clelland, J. N. · 1 citation
Mathematics · Physics and Astronomy · #35L10 #37K35 #53B20 #53B30 (Secondary) #53C10 (Primary) 53C30 #58A15 #Analysis of PDEs (math.AP) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.math/0111208

openalex publication_date 2001/11/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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