Proceedings of the International Conference on Geometry, Integrability and Quantization

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

Alexandar Yanovski

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.

Article information

Source
Proceedings of the Fifteenth International Conference on Geometry, Integrability and Quantization, Ivaïlo M. Mladenov, Andrei Ludu and Akira Yoshioka, eds. (Sofia: Avangard Prima, 2014), 292-308

Dates
First available in Project Euclid: 13 July 2015

Permanent link to this document
https://projecteuclid.org/ euclid.pgiq/1436815718

Digital Object Identifier
doi:10.7546/giq-15-2014-292-308

Mathematical Reviews number (MathSciNet)
MR3287765

Zentralblatt MATH identifier
1316.35074

Citation

Yanovski, Alexandar. Locality of the Conservation Laws for the Soliton Equations Related to Caudrey-Beals-Coifman System Via the Theory of Recursion Operators. Proceedings of the Fifteenth International Conference on Geometry, Integrability and Quantization, 292--308, Avangard Prima, Sofia, Bulgaria, 2014. doi:10.7546/giq-15-2014-292-308. https://projecteuclid.org/euclid.pgiq/1436815718


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