Decompositions of the loop algebra over so(4) and integrable models of the chiral equation type
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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. A new example of such a system is found and the Lax representation for this example is constructed.
KeywordsTaylor Series Integrable Model Commutation Relation Hyperbolic System Loop Algebra
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