Multi-component hierarchies of double bracket equations. (Q595947)
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scientific article; zbMATH DE number 2084222
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Multi-component hierarchies of double bracket equations. |
scientific article; zbMATH DE number 2084222 |
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Multi-component hierarchies of double bracket equations. (English)
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6 August 2004
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The aim of the present paper is to extend previous results to the matrix case. By using a matrix first-order pseudo-differential Lax operator, still more integrable gradient flows are presented. These equations are united by a hierachy called the matrix Brockett hierarchy. A new version of the Zakharov-Shabat-type equations is proved. Formal solutions of this hiearchy are constructed using a matrix double bracket bilinear identity.
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Lax operator
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gradient flow
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integrability
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Brockett hierarchy
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0.8653801
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0.84007764
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0.8223084
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0.81199414
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