The interaction picture method for solving the generalized nonlinear Schrödinger equation in optics (Q2820338)
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scientific article; zbMATH DE number 6627652
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The interaction picture method for solving the generalized nonlinear Schrödinger equation in optics |
scientific article; zbMATH DE number 6627652 |
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15 September 2016
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interaction picture method
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symmetric split-step method
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Runge-Kutta method
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nonlinear optics
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nonlinear Schrödinger equation
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The interaction picture method for solving the generalized nonlinear Schrödinger equation in optics (English)
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This paper contains an alternative method of the split-step approach for solving the generalized nonlinear Schrödinger equation, which describes several phenomena arising in optics. This is called the ``interaction picture method'' and it exhibits good convergence properties. This method is carefully developed in this paper, both theoretically and experimentally. A comparison with the Symmetric Split-Step method is also provided in this paper. Several numerical simulation examples are included in the final part of this paper.
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