The investigation into the Schwarz-Korteweg-de Vries equation and the Schwarz derivative in \((2+1)\) dimensions (Q2738077)
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scientific article; zbMATH DE number 1639255
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The investigation into the Schwarz-Korteweg-de Vries equation and the Schwarz derivative in \((2+1)\) dimensions |
scientific article; zbMATH DE number 1639255 |
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30 August 2001
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Lax pair
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Lax equation
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The investigation into the Schwarz-Korteweg-de Vries equation and the Schwarz derivative in \((2+1)\) dimensions (English)
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The authors introduce a new integrable equation in \((2+1)\) dimension. By using a suitable Lax pair, this equation can be expressed as a Lax equation. Moreover, by an integration with respect to one of the two space variables and an adequate change of unknowns, the proposed equation can be reduced to a \((2+1)\)--dimensional Schwarz--Korteweg--de Vries equations with the aid of a \((2+1)\)--dimensional version of the Schwarz derivative.
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