Article ID Journal Published Year Pages File Type
1867642 Physics Letters A 2009 5 Pages PDF
Abstract
In this Letter, we give special solutions of second and fourth Painlevé hierarchies derived by Gordoa, Joshi, and Pickering. We show that for certain choice of the parameters each nth member of these hierarchies has a special solution in terms of an nth order differential equation. Furthermore we derive a relation between these two hierarchies.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Physics and Astronomy (General)
Authors
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