Power expansions for solution of the fourth-order analog to the first Painlevé equation

Nikolai A. Kudryashov and Olga Yu. Efimova

Chaos, Solitons & Fractals, 2006, vol. 30, issue 1, 110-124

Abstract: One of the fourth-order analog to the first Painlevé equation is studied. All power expansions for solutions of this equation near points z=0 and z=∞ are found by means of the power geometry method. The exponential additions to the expansion of solution near z=∞ are computed. The obtained results confirm the hypothesis that the fourth-order analog of the first Painlevé equation determines new transcendental functions.

Date: 2006
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Citations: View citations in EconPapers (2)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:30:y:2006:i:1:p:110-124

DOI: 10.1016/j.chaos.2005.08.196

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