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Soliton surfaces

VI. — gauge invariance and final formulation of the approach

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Lettere al Nuovo Cimento (1971-1985)

Summary

It is shown that two arbitrary soliton systems withsw 2 (su 1,1) spectral problems are connected by a gauge transformation plus a change of independent variables, if and only if the corresponding pairs of fundamental tensors are identical. There are two advantages of this criterion: 1) no need to calculate a gauge matrix, 2) an appropriate change of independent variables and the corresponding nonlinear transformation of soliton fields follow directly from geometry. As an illustration it is shown that the « new integrable nonlinear evolution equations » possess the old (AKNS) soliton surfaces. Moreover, the final formulation of the approach of soliton surfaces is given.

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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 41, 353–360 (1984). https://doi.org/10.1007/BF02748376

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  • DOI: https://doi.org/10.1007/BF02748376

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