Article ID Journal Published Year Pages File Type
1894171 Chaos, Solitons & Fractals 2006 15 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
Preview
Power expansions for solution of the fourth-order analog to the first Painlevé equation
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