Geodesic
On some special solutions of the fifth Painlevé equation
Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 28, Tome 243 (1997), pp. 10-18
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Four kinds of special solutions of the fifth Painlevé equation are described. Their asymptotic expansions as $t\to+\infty$ are given. The corresponding monodromy data are calculated. This allows one immediately obtain the connection formulas. 
@article{ZNSL_1997_243_a1,
     author = {F. V. Andreev},
     title = {On some special solutions of the fifth {Painlev\'e} equation},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {10--18},
     year = {1997},
     volume = {243},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1997_243_a1/}
}
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F. V. Andreev. On some special solutions of the fifth Painlevé equation. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 28, Tome 243 (1997), pp. 10-18. http://geodesic.mathdoc.fr/item/ZNSL_1997_243_a1/