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Boundary-value problem for the two-dimensional stationary heisenberg magnet with nontrivial background. II

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Abstract

The investigation of the boundary-value problem on a half-plane for the two-dimensional stationary Heisenberg magnet is continued. The asymptotic behavior of “N-soliton” solutions is discussed. The asymptotic contribution of the continuous spectrum is calculated. The gauge equivalence of the boundary-value problems for the models of a magnet and the elliptic equation represented by the sinh—Gordon equation is considered.

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Authors and Affiliations

  1. Institute of Physics, St., Petersburg State University, USSR

    G. G. Varzugin, E. Sh. Gutshabash & V. D. Lipovskii

Authors
  1. G. G. Varzugin
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  2. E. Sh. Gutshabash
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  3. V. D. Lipovskii
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Additional information

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 104, No. 3, pp. 513–529, September, 1995.

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Varzugin, G.G., Gutshabash, E.S. & Lipovskii, V.D. Boundary-value problem for the two-dimensional stationary heisenberg magnet with nontrivial background. II. Theor Math Phys 104, 1166–1177 (1995). https://doi.org/10.1007/BF02068748

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  • DOI: https://doi.org/10.1007/BF02068748

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