Quadratic reductions of quadrilateral lattices
solv-int
2009-10-31 v1 Exactly Solvable and Integrable Systems
Abstract
It is shown that quadratic constraints are compatible with the geometric integrability scheme of the multidimensional quadrilateral lattice equation. The corresponding Ribaucour reduction of the fundamental transformation of quadrilateral lattices is found as well, and superposition of the Ribaucour transformations is presented in the vectorial framework. Finally, the quadratic reduction approach is illustrated on the example of multidimensional circular lattices.
Keywords
Cite
@article{arxiv.solv-int/9802011,
title = {Quadratic reductions of quadrilateral lattices},
author = {Adam Doliwa},
journal= {arXiv preprint arXiv:solv-int/9802011},
year = {2009}
}
Comments
24 pages