Bäcklund transformations for superextensions of the Liouville equation (Q1114867)
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scientific article; zbMATH DE number 4086199
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bäcklund transformations for superextensions of the Liouville equation |
scientific article; zbMATH DE number 4086199 |
Statements
Bäcklund transformations for superextensions of the Liouville equation (English)
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1986
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A general technique is described for constructing Bäcklund transformations for the Liouville equation and its superextensions in the framework of a method based on nonlinear realizations of infinite- dimensional symmetries. Superfield Bäcklund transformations are found for the \(N=2\) and \(N=4\) supersymmetric Liouville equations together with the Bäcklund transformations to the solutions of the corresponding free equations. The geometrical meaning of these transformations is established.
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Bäcklund transformations
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Liouville equation
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nonlinear realizations
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infinite-dimensional symmetries
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supersymmetric Liouville equations
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