Chiral Resonant Solitons in Broer-Kaup Type New Hydrodynamic Systems

Details Chiral Resonant Solitons in Broer-Kaup Type New Hydrodynamic Systems Chiral Resonant Solitons in Broer-Kaup Type New Hydrodynamic Systems

2010-12-06

arxiv.org/abs/1012.1241v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

16 pages, 2 figures

Scientific paper

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.

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