Central extension approach to integrable field and lattice-field systems in \((2+1)\)-dimensions (Q1573855)
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scientific article; zbMATH DE number 1486479
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Central extension approach to integrable field and lattice-field systems in \((2+1)\)-dimensions |
scientific article; zbMATH DE number 1486479 |
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Central extension approach to integrable field and lattice-field systems in \((2+1)\)-dimensions (English)
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9 August 2000
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The authors propose a systematic method for constructing a \((2+1)\)-dimensional integrable Hamiltonian field and lattice-field dynamical systems by extending the \(R\)-matrix approach from \((1+1)\) dimensions to \((2+1)\) dimensions. The method is based on the so-called central extension method, which allows to construct integrable field and lattice field Hamiltonian systems, together with the related hierarchies of commuting symmetries in two dimensions.
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lattice systems
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\(R\)-matrix
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\((2+1)\)-dimensional integrable Hamiltonian
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0.86783564
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0.8667412
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0.8663251
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0.8655083
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0.85858196
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0.8564044
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0.85536087
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