The AKNS Hierarchy Integrability Analysis Revisited: The Vertex Operator Approach and its Lie-Algebraic Structure
arXiv:1012.1024
Abstract
A regular approach to studying the Lax type integrability of the AKNS hierarchy of nonlinear Lax type integrable dynamical systems in the vertex operator representation is devised. The relationship with the Lie-algebraic integrability scheme is analyzed, the connection with the tau-function representation is briefly discussed.
7 pages
References in corpus (4)
- Functional representation of the Ablowitz-Ladik hierarchy
- On a Nonlocal Ostrovsky-Whitham Type Dynamical System, Its Riemann Type Inhomogeneous Regularizations and Their Integrability
- Conservation laws for the nonlinear Schrodinger equation in Miwa variables
- Analytic-bilinear approach to integrable hierarchies. I.Generalized KP hierarchy