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