Abstract
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.
| Original language | English |
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| Pages (from-to) | 1192-1201 |
| Number of pages | 10 |
| Journal | Journal of Mathematical Physics |
| Volume | 35 |
| Issue number | 3 |
| Publication status | Published - 1994 |