On the Toda and Kac-van Moerbeke hierarchies (Q1298025)
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scientific article; zbMATH DE number 1336889
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Toda and Kac-van Moerbeke hierarchies |
scientific article; zbMATH DE number 1336889 |
Statements
On the Toda and Kac-van Moerbeke hierarchies (English)
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9 May 2000
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Methods for constructing soliton solutions on arbitrary background are revisited and uniqueness and existence results are exploited to obtain a short and elegant proof for the single and double commutation method. As an illustration the authors compute the \(N\)-soliton solution of the Toda and Kac-van Moerbeke hierarchy.
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integrable systems
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Bäcklund transformation
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difference equations
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Toda hierarchy
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soliton solutions
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commutation method
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\(N\)-soliton solution
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Kac-van Moerbeke hierarchy
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