An ansatz for elliptic Baker - Akhiezer functions is used to find new solutions for various spectral problems - the Sturm - Liouville problem with four and five-gap Lamé potentials and two third-order problems. One of the third-order problems is the classical Halphen equation with a spectral parameter. The eigenfunctions are used to construct elliptic solutions for integrable cases of a generalized Hènon - Heiles system. © 1994 American Institute of Physics.
|Number of pages||10|
|Journal||Journal of Mathematical Physics|
|Publication status||Published - 1994|