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The lattice Schwarzian KdV equation and its symmetries

Mathematical Physics 2009-11-13 v1 math.MP

Abstract

In this paper we present a set of results on the symmetries of the lattice Schwarzian Korteweg-de Vries (lSKdV) equation. We construct the Lie point symmetries and, using its associated spectral problem, an infinite sequence of generalized symmetries and master symmetries. We finally show that we can use master symmetries of the lSKdV equation to construct non-autonomous non-integrable generalized symmetries.

Keywords

Cite

@article{arxiv.math-ph/0701044,
  title  = {The lattice Schwarzian KdV equation and its symmetries},
  author = {Decio Levi and Matteo Petrera and Christian Scimiterna},
  journal= {arXiv preprint arXiv:math-ph/0701044},
  year   = {2009}
}

Comments

11 pages, no figures. Submitted to Jour. Phys. A, Special Issue SIDE VII