Chiral resonant solitons in Chern–Simons theory and Broer–Kaup type new hydrodynamic systems

Jyh-Hao Lee and Oktay K. Pashaev

Chaos, Solitons & Fractals, 2012, vol. 45, issue 8, 1041-1047

Abstract: 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.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:45:y:2012:i:8:p:1041-1047

DOI: 10.1016/j.chaos.2012.04.005

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