Integrable fermionic extensions of the Garnier system and the anharmonic oscillator
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摘要
We first derive a fermionic extension of the Garnier system by applying the method of binary nonlinearization of spectral problem to the supersymmetric KdV equation of Kupershmidt and then a fermionic extension of the anharmonic oscillator by a simple reduction. The integrable properties of resulting systems such as Lax representations, corresponding r-matrices and conversed integrals of motion are established.
论文关键词:Lax representation,The supersymmetric KdV equation,The Garnier system,The anharmonic oscillator
论文评审过程:Available online 29 April 2011.
论文官网地址:https://doi.org/10.1016/j.amc.2011.04.003