In the framework of the isomonodromy deformation method, we present a constructive procedure to obtain the critical behaviour of Painlev´e VI transcendents and solve the connection problem. This procedure yields two- and one-parameter families of solutions, including trigonometric and logarithmic behaviours, and three classes of solutions with Taylor expansion at a critical point.
Matching Procedure for the Sixth Painleve’ Equation / Guzzetti, Davide. - In: JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL. - ISSN 0305-4470. - 39:39(2006), pp. 11973-12031. [10.1088/0305-4470/39/39/S02]
Matching Procedure for the Sixth Painleve’ Equation
Guzzetti, Davide
2006-01-01
Abstract
In the framework of the isomonodromy deformation method, we present a constructive procedure to obtain the critical behaviour of Painlev´e VI transcendents and solve the connection problem. This procedure yields two- and one-parameter families of solutions, including trigonometric and logarithmic behaviours, and three classes of solutions with Taylor expansion at a critical point.File in questo prodotto:
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