Darboux transformations with tetrahedral reduction group and related integrable systems (Q2825556)
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scientific article; zbMATH DE number 6638385
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Darboux transformations with tetrahedral reduction group and related integrable systems |
scientific article; zbMATH DE number 6638385 |
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Darboux transformations with tetrahedral reduction group and related integrable systems (English)
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13 October 2016
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automorphic Lie algebras
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tetrahedral group
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Darboux transformation
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Applying the Lax-Darboux scheme related to the tetrahedral reduction group the authors study the Darboux transformations for the class of Lax operators which involve \(3\times 3\) matrices and are invariant under the action of this group. The discrete character of these transformations allows to derive various discrete systems, all of which are integrable that is proved via Lax pairs and generalized symmetries.NEWLINENEWLINEThus new two-component integrable differential difference and partial difference systems are derived.
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