Chiral resonant solitons in Chern-Simons theory and Broer-Kaup type new hydrodynamic systems
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CitationLee, J. H. and Pashaev, O. (2012). Chiral resonant solitons in Chern-Simons theory and Broer-Kaup type new hydrodynamic systems. Chaos, Solitons and Fractals, 45(8), 1041-1047. doi:10.1016/j.chaos.2012.04.005
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.