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A super soliton connection

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Abstract

Integrable super nonlinear classical partial differential equations are considered. A super sl(2, R) algebra-valued connection 1-form is constructed. It is shown that the curvature 2-form of this super connection vanishes by virtue of the integrable super equations of motion. A super extension of the Ablowitz-Kaub-Newell-Segur scheme is presented and a class of super extensions of the Lax hieararchy and super nonlinear Schrödinger equation are found. The O(N) extension and Bäcklund transformations of the above super equations are also considered.

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Author notes

  1. Ö. Oğuz

    Present address: Department of Physics, University of Istanbul, Istanbul, Turkey

Authors and Affiliations

  1. Research Institute for Basic Sciences, TUBITAK, Gebze, PO Box 74, Kocaeli, Turkey

    M. Gürses

  2. International Centre for Theoretical Physics, Trieste, Italy

    Ö. Oğuz

Authors
  1. M. Gürses
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  2. Ö. Oğuz
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Gürses, M., Oğuz, Ö. A super soliton connection. Lett Math Phys 11, 235–246 (1986). https://doi.org/10.1007/BF00400221

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  • DOI: https://doi.org/10.1007/BF00400221

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