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Finite-band solutions of the Dirac soliton equation through a reduction technique

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Abstract

A nonlinearization technique is used to split the 1+1 dimensional soliton equation into two compatible Hamiltonian systems of ordinary differential equations in the finitedimensional invariant set of the flow. The Dirac soliton hierarchy, with the defocusing nonlinear Schrödinger equation as one of its member, is investigated in detail to illustrate the technique. A numerical example is given.

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Authors and Affiliations

  1. Department of Computer Studies, Hong Kong Baptist College, 224 Waterloo Road, Kowloon, Hong Kong

    Yong-Tang Wu

  2. Graduate School of Human Informatics, Nagoya University, 464-01, Nagoya, Japan

    Taketomo Mitsui

Authors
  1. Yong-Tang Wu
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  2. Taketomo Mitsui
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Wu, YT., Mitsui, T. Finite-band solutions of the Dirac soliton equation through a reduction technique. Japan J. Indust. Appl. Math. 13, 333–342 (1996). https://doi.org/10.1007/BF03167251

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  • DOI: https://doi.org/10.1007/BF03167251

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