Parametric Backlund transformations I: Phenomenology

Details Parametric Backlund transformations I: Phenomenology Parametric Backlund transformations I: Phenomenology

2002-08-05

arxiv.org/abs/math/0208035v1

Mathematics

Analysis of PDEs

32 pages

Scientific paper

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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