Locality of the Conservation Laws for the Soliton Equations Related to Caudrey-Beals-Coifman System Via the Theory of Recursion Operators

Yanovski, Alexandar

doi:10.7546/giq-15-2014-292-308

VOL. 15 | 2014 Locality of the Conservation Laws for the Soliton Equations Related to Caudrey-Beals-Coifman System Via the Theory of Recursion Operators

Chapter Author(s) Alexandar Yanovski

Editor(s) Ivaïlo M. Mladenov, Andrei Ludu, Akira Yoshioka

Geom. Integrability & Quantization, 2014: 292-308 (2014) DOI: 10.7546/giq-15-2014-292-308

Abstract

We consider the hierarchies of Nonlinear Evolution Equations related to auxiliary problem of Caudrey-Beals-Coifman type. We give a proof that the conservation laws for these equations have local densities based on the theory of the generating operators related to the Caudrey-Beals-Coifman linear problem.