Two-dimensional Ultra-Toda integrable mappings and chains (Abelian case)
A. N. Leznov
Abstract
The new class of integrable mappings and chains is introduced. Corresponding (1+2) integrable systems invariant with respect to such discrete transformations are represented in explicit form. Soliton like solutions of them are represented in terms of matrix elements of fundamental representations of semisimple An algebras for a given group element.
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