Darboux transformation and explicit solutions for a generalized Sawada-Kotera equation (Q469802)
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scientific article; zbMATH DE number 6368295
| Language | Label | Description | Also known as |
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| English | Darboux transformation and explicit solutions for a generalized Sawada-Kotera equation |
scientific article; zbMATH DE number 6368295 |
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Darboux transformation and explicit solutions for a generalized Sawada-Kotera equation (English)
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11 November 2014
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Summary: A generalized Sawada-Kotera equation and its Lax pairs are proposed. With the help of the gauge transformation between spectral problems, a Darboux transformation for the generalized SK equation is constructed. As an application of the Darboux transformation, we give some explicit solutions of the generalized SK equation such as the rational solutions, soliton solutions, and periodic solutions.
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