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Commuting Flows and Infinite-Dimensional Tori: Sine-Gordon

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Abstract

The present work concerns the periodic sine-Gordon equation. We explain why the complete set of conserved functionals for sine-Gordon is an infinite-dimensional torus; the periodic sine-Gordon solution is almost periodic in time on an infinite-dimensional torus.

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Authors and Affiliations

  1. Mathematics Department, Northeastern University, Boston, MA, 02115, USA

    Martin Schwarz Jr

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  1. Martin Schwarz Jr
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Correspondence to Martin Schwarz Jr.

Additional information

Communicated by Paul Newton.

The author thanks Henry McKean with whom most of the material presented below has been discussed to my benefit.

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Schwarz, M. Commuting Flows and Infinite-Dimensional Tori: Sine-Gordon. J Nonlinear Sci 27, 1379–1398 (2017). https://doi.org/10.1007/s00332-017-9369-2

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  • DOI: https://doi.org/10.1007/s00332-017-9369-2

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