Parametric Backlund transformations I: Phenomenology
Analysis of PDEs
2007-05-23 v1 Differential Geometry
Exactly Solvable and Integrable Systems
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.
Keywords
Cite
@article{arxiv.math/0208035,
title = {Parametric Backlund transformations I: Phenomenology},
author = {Jeanne N. Clelland and Thomas A. Ivey},
journal= {arXiv preprint arXiv:math/0208035},
year = {2007}
}
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32 pages