A numerical study of the large-period limit of a Zakharov-Shabat eigenvalue problem with periodic potentials (Q2901539)
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scientific article; zbMATH DE number 6058759
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A numerical study of the large-period limit of a Zakharov-Shabat eigenvalue problem with periodic potentials |
scientific article; zbMATH DE number 6058759 |
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20 July 2012
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non-periodic potential
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nonlinear Schrödinger potentials
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A numerical study of the large-period limit of a Zakharov-Shabat eigenvalue problem with periodic potentials (English)
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It is shown, that a special choice of Floquet exponent in the numerical algorithm proposed by \textit{B. Deconinck} and \textit{J. N. Kutz} [J. Comput. Phys. 219, 296--321 (2006; Zbl 1105.65119)] for solving numerically the Zakharov-Shabat eigenvalue problem gives its high efficiency also for problems with non-periodic potential in particular for decaying potentials defined over the whole real line. This is illustrated here for some nonlinear Schrödinger potentials.
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