Geodesic
Differential-geometrical structures in the theory of two-dimensional integrable equations
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 10, Tome 189 (1991), pp. 75-81 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@article{ZNSL_1991_189_a5,
     author = {V. G. Michalev},
     title = {Differential-geometrical structures in the theory of two-dimensional integrable equations},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {75--81},
     year = {1991},
     volume = {189},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1991_189_a5/}
}
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V. G. Michalev. Differential-geometrical structures in the theory of two-dimensional integrable equations. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 10, Tome 189 (1991), pp. 75-81. http://geodesic.mathdoc.fr/item/ZNSL_1991_189_a5/