Trace identities in the inverse scattering transform method associated with matrix Schrödinger operators

Trace identities arising in the scattering theory of one-dimensional matrix Schrödinger operators are deduced. They derive from the properties of an asymptotic expansion of the trace of the resolvent kernel in inverse powers of the spectral parameter. Applications of these trace identities for characterizing infinite families of conservation laws for nonlinear evolution equations are given.

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