Integrable systems associated with the Schrödinger spectral problem in the plane
- 1 January 1991
- journal article
- research article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 32 (1), 157-162
- https://doi.org/10.1063/1.529139
Abstract
Associated with the Schrodinger spectral problem in the plane, the nonlinear integrable systems are investigated. The commutative properties of equations of the flow and their symmetries and mastersymmetries are derived in spite of the noncanonicality of the related extended recursion operator. By applying the inverse scattering transform, the systems can be solved and then the correspondences between commuting (resp. noncommuting) flows and isospectral (resp. nonisospectral) deformations of the spectral problem are found.Keywords
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