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Solitons of the modified KdV equation

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Abstract

We determine all reflectionless potentials for the one-dimensional charge symmetric Dirac operator, identify them as solitons of the modified KdV equation, and give the connection to the KdV solitons. An associated dynamical system is shown to be completely integrable.

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  1. H. Grosse

    Present address: Institute for Theoretical Physics, University of Vienna, Austria

Authors and Affiliations

  1. Zentrum für interdisziplinäre Forschung der Universität Bielefeld, Germany

    H. Grosse

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  1. H. Grosse
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Grosse, H. Solitons of the modified KdV equation. Letters in Mathematical Physics 8, 313–319 (1984). https://doi.org/10.1007/BF00400502

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  • DOI: https://doi.org/10.1007/BF00400502

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