Hydrodynamical vortex on the plane

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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11 pages

Scientific paper

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.

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