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

Luis Martı́nez Alonso | Zendy; Eugenio Olmedilla | Zendy

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

Author(s) -

Luis Martı́nez Alonso,

Eugenio Olmedilla

Publication year - 1982

Publication title -

journal of mathematical physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.708

H-Index - 119

eISSN - 1089-7658

pISSN - 0022-2488

DOI - 10.1063/1.525265

Subject(s) - trace (psycholinguistics) , resolvent , mathematics , inverse scattering problem , inverse scattering transform , matrix (chemical analysis) , trace class , mathematical analysis , inverse , quantum inverse scattering method , kernel (algebra) , conservation law , inverse problem , pure mathematics , hilbert space , philosophy , linguistics , materials science , geometry , composite material

Trace identities arising in the scattering theory of one-dimensional matrix Schrodinger 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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