Chiral Resonant Solitons in Broer-Kaup Type New Hydrodynamic Systems
Exactly Solvable and Integrable Systems
2015-03-17 v1 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.1012.1241,
title = {Chiral Resonant Solitons in Broer-Kaup Type New Hydrodynamic Systems},
author = {Jyh-Hao Lee and Oktay K. Pashaev},
journal= {arXiv preprint arXiv:1012.1241},
year = {2015}
}
Comments
16 pages, 2 figures