Classical transcendental solutions of the Painlevé equations and their degeneration

Details Classical transcendental solutions of the Painlevé equations and their degeneration Classical transcendental solutions of the Painlevé equations and their degeneration

2003-02-12

arxiv.org/abs/nlin/0302026v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

22 pages

Scientific paper

We present a determinant expression for a family of classical transcendental
solutions of the Painlev\'e V and the Painlev\'e VI equation. Degeneration of
these solutions along the process of coalescence for the Painlev\'e equations
is discussed.

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