Chiral Resonant Solitons in Broer-Kaup Type New Hydrodynamic Systems

TL;DR

This paper introduces new hydrodynamic systems derived from the Kaup-Newell hierarchy, explores their connection to chiral solitons in quantum potential, and constructs soliton solutions demonstrating resonant interactions.

Contribution

It presents novel Broer-Kaup type hydrodynamic equations linked to quantum chiral solitons and provides explicit soliton solutions with resonant interaction properties.

Findings

Derived new hydrodynamic equations from the Kaup-Newell hierarchy.

Established a relation between these systems and chiral solitons in quantum potential.

Constructed explicit soliton solutions showing resonant interactions.

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.