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Original Articles

The bäcklund transformations of the fifth painlevé equation and their applications

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Pages 221-230 | Received 17 Sep 2000, Published online: 14 Oct 2010

References

  • Grammaticos , B. , Nijhoff , F. and Ramani , A. 1999 . “ Discrete Painlevé equations ” . In The Painlevé property. One century later , Edited by: Conte , R. 413 – 516 . Springer . CRM Series in Mathematical Physics
  • Gromak , V. 1975 . To the theory of the Painlevé equations . Differential Equations , 11 (2) : 373 – 376 . (in Russian)
  • Gromak , V. 1976 . On the solutions of the fifth Painlevé equation . Differential Equations , 12 (4) : 740 – 742 . (in Russian)
  • Gromak , V. 1978 . On the one‐parameter families of solutions of the Painlevé equations . Differential Equations , 14 (12) : 2131 – 2135 . (in Russian)
  • Gromak , V. 1999 . “ Bäcklund transformations of the Painlevé equations and their applications ” . In The Painlevé property. One century later , CRM Series in Mathematical Physics Edited by: Conte , R. 687 – 734 . Springer .
  • Gromak , V. and Lukashevich , N. 1990 . Analytical properties of the solutions of the Painlevé equations , Minsk : University Press . (in Russian)
  • Gromak , V. and Tsegel'nik , V. 1978 . On the rational solutions of the fifth Painlevé equation . Izvestiya of the Academy of Sciences of BSSR , 6 : 114 – 115 . (in Russian)
  • Gromak , V. and Tsegel'nik , V. 1994 . On the nonlinear superposition formulas between solutions of the equations of P‐type . Differential Equations , 30 (7) : 1118 – 1124 . (in Russian)

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