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Soliton surfaces

IV. — Topological charge for « nontopological » solitons

  • Published:
Lettere al Nuovo Cimento (1971-1985)

Summary

It is shown that one can introduce a topological chargeN for all soliton systems corresponding to the reductionr = - q of the ZS-AKNS spectral problem with an analytic at ζ = 0 dispersion relation. Geometrically, N is a total curvature for a closed smooth curve in the compactifiedR 2. Topologically,N is a degree of some mapS 1 → S1 . Physical interpretations of N are also discussed.

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Authors and Affiliations

  1. Institute of Theoretical Physics of Warsaw University, Hoża 69, 00-681, Warsaw, Poland

    A. Sym

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Sym, A. Soliton surfaces. Lett. Nuovo Cimento 40, 225–231 (1984). https://doi.org/10.1007/BF02751773

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