Bicomplexes and Integrable Models

Abstract

We associate bicomplexes with several integrable models in such a way that conserved currents are obtained by a simple iterative construction. Gauge transformations and dressings are discussed in this framework and several examples are presented, including the nonlinear Schrodinger and sine-Gordon equations, and some discrete models.

17 pages, LaTeX, uses amssymb.sty and diagrams.sty

References in corpus (2)

• Noncommutative Solitons
• Bi-differential calculi and integrable models

Cited by in corpus (11)

• Towards Noncommutative Integrable Systems
• Noncommutative Burgers Equation
• Interaction of Noncommutative Plane Waves in 2+1 Dimensions
• Bicomplexes and Backlund transformations
• Bicomplex formulation and Moyal deformation of (2+1)-dimensional Fordy-Kulish systems
• Conservation laws for the nonlinear Schrodinger equation in Miwa variables
• Non-Noether symmetries and their influence on phase space geometry
• Bicomplexes and Conservation Laws in Non-Abelian Toda Models
• Noncommutative Solitons in a Supersymmetric Chiral Model in 2+1 Dimensions
• Scattering of Noncommutative Waves and Solitons in a Supersymmetric Chiral Model in 2+1 Dimensions
• On generalized Lotka-Volterra lattices