FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2004, VOLUME 10, NUMBER 1, PAGES 39-47

Decompositions of the loop algebra over $so(4)$ and integrable models of the chiral equation type

O. V. Efimovskaya
V. V. Sokolov

Abstract

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Decompositions of the loop algebra over $so(4)$ are considered and the exactly integrable nonlinear hyperbolic systems of the principal chiral field equation type are analyzed. New example of such system is found and the Lax representation for this example is constructed.

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Last modified: October 25, 2004