Asymptotic Series for Some PainlevÉ VI Solutions

Details Asymptotic Series for Some PainlevÉ VI Solutions Asymptotic Series for Some PainlevÉ VI Solutions

1999-09-28

arxiv.org/abs/math/9909162v1

Mathematics

Classical Analysis and ODEs

11 pages, LaTeX

Scientific paper

The paper concerns asymptotic studies for the sixth Painlev\'e transcendent
as independent variable tends to infinity. The primary tool is averaging and
the Whitham method. Elliptic ansatz, appropriate modulation equation and
asymptotics for some partial solution to PVI are found.

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