Extension of the Ablowitz-Ladik method to the derivative nonlinear Schrödinger equation (Q1106647)
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scientific article; zbMATH DE number 4062531
| Language | Label | Description | Also known as |
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| English | Extension of the Ablowitz-Ladik method to the derivative nonlinear Schrödinger equation |
scientific article; zbMATH DE number 4062531 |
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Extension of the Ablowitz-Ladik method to the derivative nonlinear Schrödinger equation (English)
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1988
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The authors employ the Ablowitz-Ladik scheme to a nonlinear evolution equation which is equivalent to the derivative nonlinear Schrödinger equation. The scheme maintains the main properties of the original equation. Numerical results show that the scheme admits a rather large time step. Using this way the standard AKNS system was solved by \textit{M. Ablowitz} and \textit{J. Ladik} [Stud. Appl. Math. 55, 213-229 (1976; Zbl 0338.35002)] and \textit{T. Taha} and \textit{M. Ablowitz} [J. Comput. Phys. 55, 192-202 (1984; Zbl 0541.65081), 203-230 (1984; Zbl 0541.65082) and 231- 253 (1984; Zbl 0541.65083)].
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Ablowitz-Ladik scheme
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nonlinear evolution equation
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derivative nonlinear Schrödinger equation
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