Linearization and solutions of the discrete Painlevé III equation
✍ Scribed by B. Grammaticos; F.W. Nijhoff; V. Papageorgiou; A. Ramani; J. Satsuma
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 333 KB
- Volume
- 185
- Category
- Article
- ISSN
- 0375-9601
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📜 SIMILAR VOLUMES
We study the special limits of discrete Painleve´equations belonging to the qÀP VI and dÀP V families, when the independent variable goes to 1 or 0, respectively. We obtain discrete systems which are shown to be either contiguities of solutions of continuous Painleve´equations, usually of P VI but a
Linearization of the initial value problem associated with the special second Painleve equation is discussed using a different isomonodromic spectral problem than the one used in [1]. Further properties of the monodromy data [2, 3] are detected and these properties are used to reduce the problem to