Conservation laws for the nonlinear Schrodinger equation in Miwa variables

Abstract

A compact expression for the generating function of the constants of motion for the nonlinear Schrodinger equation is derived using the functional representation of the AKNS hierarchy.

6 pages, LaTeX2e

References in corpus (1)

• Bicomplexes and Integrable Models

Cited by in corpus (7)

• Functional representations of integrable hierarchies
• From AKNS to derivative NLS hierarchies via deformations of associative products
• Nonassociativity and Integrable Hierarchies
• Functional representation of the negative AKNS hierarchy
• Bäcklund transformations between the AKNS and DNLS hierarchies
• Evolution of the wave-function's shape in a time-dependent harmonic potential
• The AKNS Hierarchy Integrability Analysis Revisited: The Vertex Operator Approach and its Lie-Algebraic Structure