Numerical implementation of two-soliton solutions to the Kadomtsev-Petviashvili equation (Q1608256)
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scientific article; zbMATH DE number 1779318
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Numerical implementation of two-soliton solutions to the Kadomtsev-Petviashvili equation |
scientific article; zbMATH DE number 1779318 |
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Numerical implementation of two-soliton solutions to the Kadomtsev-Petviashvili equation (English)
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25 January 2003
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The paper is devoted to a spectral scheme for solving the unstable Kadomtsev-Petviashvili equation. Numerical solutions are compared with exact one- and two-soliton localized solutions. Various interactions between plane normal solitons and rational solitons are studied. Stability issues are discussed, and a comparison with analogous solutions to the Zakharov-Kuznetsov equation is made.
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solitons
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Kadomtsev-Petviashvili equation
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Zakharov-Kuznetsov equation
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gravity waves
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spectral scheme
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stability
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