Unraveling hidden hierarchies and dual structures in an integrable field model

Details Unraveling hidden hierarchies and dual structures in an integrable field model Unraveling hidden hierarchies and dual structures in an integrable field model

2012-01-03

arxiv.org/abs/1201.0627v3

Nonlinear Sciences

Exactly Solvable and Integrable Systems

4 pages, revtex4, 1 figure. Title extended, Complete NLS hierarchies and their duals discovered

Scientific paper

An integrable field theory, due to path-independence on the space-time plane, should yield together with an infinite set of independent conserved charges also similar dual charges determining the boundary and defect contributions. On the example of the nonlinear Schroedinger equation we unravel hidden hierarchies and dual structures and show the complete integrability through a novel Yang-Baxter equation at the classical and quantum level with exact solution.

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