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Parametric Backlund transformations I: Phenomenology

2002/08/05 by Jeanne N. Clelland, Thomas A. Ivey, Clelland, Jeanne N. +2
Mathematics · Physics and Astronomy · #35L10 #37K35 #53C10 #58A15 #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #Differential Geometry (math.DG) #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Mathematics #FOS: Physical sciences #Geometry and complex manifolds #Nonlinear Waves and Solitons #math.AP #math.DG #msc:35L10 #msc:37K35 #msc:53C10 #msc:58A15 #nlin.SI

paper · pdf · doi:10.48550/arxiv.math/0208035

32 pages

arxiv created 2002/08/05 · openalex publication_date 2002/08/05 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We begin an exploration of parametric Backlund transformations for hyperbolic Monge-Ampere systems. We compute invariants for such transformations and explore the behavior of four examples regarding their invariants, symmetries, and conservation laws. We prove some preliminary results and indicate directions for further research.

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