FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2005, VOLUME 11, NUMBER 1, PAGES 181-193

On the solution of Toda systems associated with simple Lie algebras

A. V. Ovchinnikov

Abstract

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We describe the Hamiltonian reduction of the Wess--Zumino model to the Toda system associated with a semisimple Lie algebra and propose a method for the construction of the exact solution of the Toda system based on this reduction.

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Last modified: April 27, 2005