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In this work we found the new class of exact stationary solutions for2D-Euler equations. Unlike of already known solutions, the new one containcomplex singularities. We consider as complex, point singularities which havethe vector field index greater than one. For example, the dipole singularity iscomplex because its index is equal to two. We present in explicit form a largeclass of exact localized stationary solutions for 2D-Euler equations with thesingularity which index is equal to three. The obtained solutions are expressedin terms of elementary functions. These solutions represent complex singularitypoint surrounded by vortex satellites structure. We discuss also motionequation of singularities and conditions for singularity point stationaritywhich provides the stationarity of complex vortex configuration.

Vortex structures with complex points singularities in the two-dimensional Euler equation. New exact solutions