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General Zakharov-Shabat equations, multi-time Hamiltonian formalism, and constants of motion

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Abstract

We construct a Hamiltonian formalism for general Zakharov-Shabat equations (zero curvature equations with rational dependence on a parameter) as well as their constants of motion, and prove that the latter are in involution. The field-theoretical (multi-time) Hamiltonian formalism is used.

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Author notes

  1. L. A. Dickey

    Present address: Mathematics Department, University of North Carolina, 27514, Chapel Hill, NC, USA

Authors and Affiliations

  1. Department of Mathematics, Brandeis University, 02254, Waltham, MA, USA

    L. A. Dickey

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  1. L. A. Dickey
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Additional information

Communicated by A. Jaffe

Supported by National Science Foundation, Research Grant DMS 8703407.

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Dickey, L.A. General Zakharov-Shabat equations, multi-time Hamiltonian formalism, and constants of motion. Commun.Math. Phys. 132, 485–497 (1990). https://doi.org/10.1007/BF02156532

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  • DOI: https://doi.org/10.1007/BF02156532

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