Geodesic
Hydrodynamical vortice on the plain
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 19, Tome 335 (2006), pp. 119-133

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The detailed analysis of model of the hydrodynamical vortice on a plane is executed. The derivation of the corresponding equation and its simplified variant is given, a partial solutions are constructed. The question on application of Darboux transformation is considered. 
@article{ZNSL_2006_335_a6,
     author = {E. Sh. Gutshabash},
     title = {Hydrodynamical vortice on the plain},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {119--133},
     publisher = {mathdoc},
     volume = {335},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2006_335_a6/}
}
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E. Sh. Gutshabash. Hydrodynamical vortice on the plain. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 19, Tome 335 (2006), pp. 119-133. http://geodesic.mathdoc.fr/item/ZNSL_2006_335_a6/