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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. LOMI, 1991 Volume 189, Pages 75–81 (Mi znsl4882)

This article is cited in 2 papers

Differential-geometrical structures in the theory of two-dimensional integrable equations

V. G. Michalev


Abstract: Gauge transformations of the integrable generalization of the Heisenberg magnetic for the case of the $(2+1)$-dimensional space-time is interpreted in terms of the topological charge. Restrictions on the classes of solutions of the equation for the two-dimensional magnetic are described for the case when this equation is gauge equivalent to the Davy–Stuartson equation.

UDC: 517.9


 English version:
Journal of Soviet Mathematics, 1992, 62:5, 2987–2991

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