Parametric Backlund transformations I: Phenomenology
Clelland, Jeanne N. · Ivey, Thomas A.
Analysis of PDEs
Differential Geometry
Exactly Solvable and Integrable Systems
37K35; 35L10; 58A15; 53C10
Original · EN
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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