LINEARIZATION AND SOLUTIONS OF THE DISCRETE PAINLEVE-III EQUATION

Authors
GRAMMATICOS B NIJHOFF FW PAPAGEORGIOU V RAMANI A SATSUMA J
Citation
B. Grammaticos et al., LINEARIZATION AND SOLUTIONS OF THE DISCRETE PAINLEVE-III EQUATION, Physics letters. A, 185(5-6), 1994, pp. 446-452
Citations number
17
Categorie Soggetti
Physics
Journal title
Physics letters. A → ACNP
ISSN journal
03759601
Volume
185
Issue
5-6
Year of publication
1994
Pages
446 - 452
Database
ISI
SICI code
0375-9601(1994)185:5-6<446:LASOTD>2.0.ZU;2-J
Abstract
We present particular solutions of the discrete Painleve III (d-P(III) ) equation of rational and special function (Bessel) type. These solut ions allow us to establish a close parallel between this discrete equa tion and its continuous counterpart. Moreover, we propose an alternate form for d-P(III) and confirm its integrability by explicitly derivin g its Lax pair.