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Locality of the conservation laws for the soliton equations related to Caudrey-Beals-Coifman system. (English) Zbl 1305.35125

Summary: 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.

MSC:

35Q51 Soliton equations
37K30 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with infinite-dimensional Lie algebras and other algebraic structures
37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.)
35L65 Hyperbolic conservation laws
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