The matching procedure is a constructive way of using the isomonodromy deformation method, to obtain the critical behavior of Painleve' VI transcendents and solve the connection problem. This procedure yields two and one parameter families of solutions, including trigonometric and logarithmic behaviors, and three classes of solutions with Taylor expansion at a critical point.
Matching procedure for the sixth Painleve' equation / Guzzetti, Davide. - B2:(2007), pp. 4.29-4.44. (Intervento presentato al convegno Algebraic, Analytic and Geometric Aspects of Complex Differential Equations and their Deformations. Painlevé hierarchies tenutosi a RIMS, Kyoto University, Japan nel Maggio 2006).
Matching procedure for the sixth Painleve' equation
Guzzetti, Davide
2007-01-01
Abstract
The matching procedure is a constructive way of using the isomonodromy deformation method, to obtain the critical behavior of Painleve' VI transcendents and solve the connection problem. This procedure yields two and one parameter families of solutions, including trigonometric and logarithmic behaviors, and three classes of solutions with Taylor expansion at a critical point.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
