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Symplectic structure, Lagrangian, and involutiveness of first integrals of the principal chiral field equation

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Abstract

We deal with a form of the chiral equation, for which first integrals can be written explicitly. For these equations, we find a symplectic structure, the Lagrangian and first integrals in involution.

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Authors and Affiliations

  1. Leningradsky av. 28, fl. 59, SU-125040, Moscow, USSR

    L. A. Dickey

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  1. L. A. Dickey
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Communicated by A. Jaffe

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Dickey, L.A. Symplectic structure, Lagrangian, and involutiveness of first integrals of the principal chiral field equation. Commun.Math. Phys. 87, 505–513 (1983). https://doi.org/10.1007/BF01208263

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  • DOI: https://doi.org/10.1007/BF01208263

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