Bäcklund transformations and soliton solutions for the KdV6 equation (Q632850)
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scientific article; zbMATH DE number 5870886
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bäcklund transformations and soliton solutions for the KdV6 equation |
scientific article; zbMATH DE number 5870886 |
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Bäcklund transformations and soliton solutions for the KdV6 equation (English)
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28 March 2011
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At the usage of the introduced Bäcklund transformation (BT) in bilinear form for the KdV6 equation, its \(N\)-soliton solution is obtained. From the modified BT the new representation of \(N\)-soliton solution is derived, which is in agreement with Hirota' standard expression of the standard fractional Lorenz dynamic system (LDS). From this new representation of soliton solutions the positon, negaton and rational solutions for the fractal LDS can be deduced by the limit procedure.
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Bäcklund transformation
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KdV6 equation
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bilinear method
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soliton solutions
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limited solutions
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0.93371844
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