Nikolai A Kudryashov 2002 J. Phys. A: Math. Gen. 35 93 doi:10.1088/0305-4470/35/1/308
Nikolai A Kudryashov
Show affiliationsNew integrable hierarchy of ordinary differential equations is presented. This hierarchy is shown to generalize the P2 hierarchy, while on the other hand, this hierarchy gives a special case of the third Painlevé equation. The isomonodromic linear problem is used to find this new hierarchy. The Painlevé approach to investigate the fourth-order ordinary differential equation of this hierarchy is applied.
34M55 Painlevé and other special equations; classification, hierarchies; isomonodromic deformations
Issue 1 (11 January 2002)
Received 6 July 2001, in final form 30 October 2001
Published 21 December 2001
Nikolai A Kudryashov 2002 J. Phys. A: Math. Gen. 35 93
K-S Chen et al 2004 J. Micromech. Microeng. 14 159
S Cammelli et al 2009 J. Phys.: Conf. Ser. 190 012027
Kari J Nurmela 1998 J. Phys. A: Math. Gen. 31 1035
Philip Britton 2008 Phys. Educ. 43 125
S Dasgupta and J Hart 1965 Br. J. Appl. Phys. 16 725
Stojan Obradovic 2002 Eur. J. Phys. 23 269
M E Berbenni Bitsch and A Vancura 1989 Eur. J. Phys. 10 243
Francesc Salvat and José M Fernández-Varea 2009 Metrologia 46 S112
T Ling et al 2007 Phys. Med. Biol. 52 2213