| Title: | Hamiltonians associated with the sixth Painlevé equation |
| Authors: | Tsegel'nik, V. V. |
| Keywords: | публикации ученых;painlevé equation;hamiltonian;family of solutions;bäcklund transformation;heun equation |
| Issue Date: | 2007 |
| Publisher: | Theoretical and Mathematical Physics |
| Citation: | Tsegel'nik, V. V. Hamiltonians associated with the sixth Painlevé equation / V. V. Tsegel'nik // Theoretical and Mathematical Physics. – 2007. – Т. 151, No. 1. – Р. 482–491. |
| Abstract: | We obtain the formula determining the general form of polynomial Hamiltonians associated with the sixth Painlevé equation and prove its uniqueness. We prove the existence of nonpolynomial Hamiltonians associated with this equation. We identify the Hamiltonian class for which the defining differential equation coincides with the equation (h-equation) for the simplest polynomial Hamiltonian (the Okamoto Hamiltonian). |
| URI: | https://libeldoc.bsuir.by/handle/123456789/25024 |
| DOI: | https://doi.org/10.1007/s11232-007-0036-x |
| Appears in Collections: | Публикации в зарубежных изданиях
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