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New Broer-Kaup type systems of hydrodynamic equations are derived from thederivative reaction-diffusion systems arising in SL(2,R) Kaup-Newell hierarchy,represented in the non-Madelung hydrodynamic form. A relation with the problemof chiral solitons in quantum potential as a dimensional reduction of 2+1dimensional Chern-Simons theory for anyons is shown. By the Hirota bilinearmethod, soliton solutions are constructed and the resonant character of solitoninteraction is found.

Chiral Resonant Solitons in Broer-Kaup Type New Hydrodynamic Systems