Integrable fermionic extensions of the Garnier system and the anharmonic oscillator
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.
scientific article; zbMATH DE number 5913737
scientific article