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One generalization of the second Painlevé hierarchy

Nikolai A Kudryashov

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New 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.


PACS

02.30.Hq Ordinary differential equations

02.30.Ik Integrable systems

02.30.Sa Functional analysis

MSC

34M55 Painlevé and other special equations; classification, hierarchies; isomonodromic deformations

Subjects

Mathematical physics

Dates

Issue 1 (11 January 2002)

Received 6 July 2001, in final form 30 October 2001

Published 21 December 2001



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