The power expansions of the solutions of the first painlevé hierarchy
DOI: https://doi.org/10.3846/13926292.2006.9637326Abstract
In this paper we consider a hierarchy of the first Painlevé equation's higher order analogues. For these equations three types of power expansions, i.e. holomorphic, polar and asymptotic are found. As an example the equation of the fourth order is considered.
First Published Online: 14 Oct 2010
Keywords:
Painlevé equation, P‐type equations, power expansions, power geometryHow to Cite
Grigor'ev, A. A., & Gromak, V. I. (2006). The power expansions of the solutions of the first painlevé hierarchy. Mathematical Modelling and Analysis, 11(4), 389-398. https://doi.org/10.3846/13926292.2006.9637326
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Copyright (c) 2006 The Author(s). Published by Vilnius Gediminas Technical University.
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2006-12-31
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Copyright
Copyright (c) 2006 The Author(s). Published by Vilnius Gediminas Technical University.
License
This work is licensed under a Creative Commons Attribution 4.0 International License.
How to Cite
Grigor'ev, A. A., & Gromak, V. I. (2006). The power expansions of the solutions of the first painlevé hierarchy. Mathematical Modelling and Analysis, 11(4), 389-398. https://doi.org/10.3846/13926292.2006.9637326