Trivalent Graphs and Solitons

Details Trivalent Graphs and Solitons Trivalent Graphs and Solitons

2000-04-08

arxiv.org/abs/math-ph/0004009v1

Russian Math Surveys 54 (1999) n 1 pp 149-150

Physics

Mathematical Physics

LATEX file, 3 pages

Scientific paper

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.

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