Integrable fermionic extensions of the Garnier system and the anharmonic oscillator (Q548000)
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scientific article; zbMATH DE number 5913737
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Integrable fermionic extensions of the Garnier system and the anharmonic oscillator |
scientific article; zbMATH DE number 5913737 |
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Integrable fermionic extensions of the Garnier system and the anharmonic oscillator (English)
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27 June 2011
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In this paper the authors derive fermionic extensions of the Garnier system and the anharmonic oscillator, as well as their Lax representations, \(r\)-matrices and conversed integrals. Different from the classic Garnier system and the anharmonic oscillator, which are free Hamiltonian systems, these resulting fermionic extensions contain a nonholonomic constraint.
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Lax representation
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supersymmetric KdV equation
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Garnier system
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anharmonic oscillator
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