Special Solutions for Discrete Painlevé Equations
作者： K.M. Tamizhmani , T. Tamizhmani , B. Grammaticos , A. Ramani
DOI: 10.1007/978-3-540-40357-9_8
关键词: Special solution 、 Mathematics 、 Applied mathematics
摘要:
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sci-hub.st 参考文章(55)
Mark J. Ablowitz, Harvey Segur, Exact Linearization of a Painlevé Transcendent Physical Review Letters. ,vol. 38, pp. 1103- 1106 ,(1977) , 10.1103/PHYSREVLETT.38.1103
Hidetaka Sakai, Rational surfaces associated with affine root systems and geometry of the Painlevé equations Communications in Mathematical Physics. ,vol. 220, pp. 165- 229 ,(2001) , 10.1007/S002200100446
F Nijhoff, J Satsuma, K Kajiwara, B Grammaticos, A Ramani, A study of the alternate discrete Painlevé II equation Inverse Problems. ,vol. 12, pp. 697- 716 ,(1996) , 10.1088/0266-5611/12/5/012
B. Grammaticos, B. Dorizzi, Integrable discrete systems and numerical integrators Mathematics and Computers in Simulation. ,vol. 37, pp. 341- 352 ,(1994) , 10.1016/0378-4754(94)00023-9
B Grammaticos, Y Ohta, A Ramani, H Sakai, Degeneration through coalescence of the q-Painlevé VI equation Journal of Physics A. ,vol. 31, pp. 3545- 3558 ,(1998) , 10.1088/0305-4470/31/15/018
A Ramani, B Grammaticos, J Satsuma, Bilinear discrete Painleve equations Journal of Physics A. ,vol. 28, pp. 4655- 4665 ,(1995) , 10.1088/0305-4470/28/16/021
Andrew P. Bassom, Peter A. Clarkson, New exact solutions of the discrete fourth Painleve´equation Physics Letters A. ,vol. 194, pp. 358- 370 ,(1994) , 10.1016/0375-9601(94)91294-7
A. S. Fokas, M. J. Ablowitz, On a unified approach to transformations and elementary solutions of Painlevé equations Journal of Mathematical Physics. ,vol. 23, pp. 2033- 2042 ,(1982) , 10.1063/1.525260
T Tamizhmani, K M Tamizhmani, B Grammaticos, A Ramani, Special function solutions for asymmetric discrete Painlevé equations Journal of Physics A. ,vol. 32, pp. 4553- 4562 ,(1999) , 10.1088/0305-4470/32/24/317
B Grammaticos, A Ramani, From continuous Painlevé IV to the asymmetric discrete Painlevé I Journal of Physics A: Mathematical and General. ,vol. 31, pp. 5787- 5798 ,(1998) , 10.1088/0305-4470/31/27/009