The application of the theory of trigonal curves to the discrete coupled nonlinear Schrödinger hierarchy (Q2001960)
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scientific article; zbMATH DE number 7079111
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The application of the theory of trigonal curves to the discrete coupled nonlinear Schrödinger hierarchy |
scientific article; zbMATH DE number 7079111 |
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The application of the theory of trigonal curves to the discrete coupled nonlinear Schrödinger hierarchy (English)
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11 July 2019
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The mathematical object, which is explored in this work, is the matrix nonlinear Schrödinger equation discrete with the respect to a spatial lattice and continuous with respect to time. It is associated with a hierarchy corresponding to the discrete \(3\times 3\) matrix spectral problem studied from algebro-geometric point of view; in particular, the stationary Baker-Akhiezer function is extended to the time-dependent case.
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discrete non-linear Schrödinger equation
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matrix spectral problem
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