The AKNS Hierarchy Integrability Analysis Revisited: The Vertex Operator Approach and its Lie-Algebraic Structure

Details The AKNS Hierarchy Integrability Analysis Revisited: The Vertex Operator Approach and its Lie-Algebraic Structure The AKNS Hierarchy Integrability Analysis Revisited: The Vertex Operator Approach and its Lie-Algebraic Structure

2010-12-05

arxiv.org/abs/1012.1024v2

Nonlinear Sciences

Exactly Solvable and Integrable Systems

7 pages

Scientific paper

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.

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