Trivalent Graphs and Solitons
Mathematical Physics
2007-05-23 v1 math.MP
Abstract
It is shown that the fourth order real self-adjoint difference operator on the Tivalent Tree admits nontrivial deformations preserving one energy level and therefore defines a nontrinial hierarhy of the completely integrable nonlinear systems representible through the ''L-A-B-triple''. The Laplace transformations for these operators are also constructed. Nothing like that exists for the second order difference operators on this tree.
Cite
@article{arxiv.math-ph/0004009,
title = {Trivalent Graphs and Solitons},
author = {I. Krichever and S Novikov},
journal= {arXiv preprint arXiv:math-ph/0004009},
year = {2007}
}
Comments
LATEX file, 3 pages