Trace identities in the inverse scattering transform method associated with matrix Schrödinger operators
- 1 November 1982
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 23 (11) , 2116-2121
- https://doi.org/10.1063/1.525265
Abstract
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 givenKeywords
This publication has 9 references indexed in Scilit:
- Quantum theory of solitonsPublished by Elsevier ,2002
- Conservation laws for the whole class of nonlinear evolution equations associated to the matrix Schroedinger spectral problemLettere al Nuovo Cimento (1971-1985), 1981
- Infinite-dimensional Hamiltonian systems associated with matrix Schrödinger operatorsIl Nuovo Cimento B (1971-1996), 1981
- Inverse scattering on the lineCommunications on Pure and Applied Mathematics, 1979
- Nonlinear evolution equations solvable by the inverse spectral transform.— IIIl Nuovo Cimento B (1971-1996), 1977
- On the Extension of Inverse Scattering MethodProgress of Theoretical Physics, 1974
- On the complete integrability of a nonlinear Schr dinger equationTheoretical and Mathematical Physics, 1974
- On equations for the coefficient functions of the S matrix in quantum field theoryTheoretical and Mathematical Physics, 1974
- The stronger form of Cauchy’s integral theoremBulletin of the American Mathematical Society, 1943