Geodesic
The method of isomonodromic deformations for the ``degenerate'' third Painleve equation
Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 7, Tome 161 (1987), pp. 45-53

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In order to investigate solutions of the equation $(\tau u_\tau)_\tau=e^u-e^{-2u}$, which is a variant of the “degenerate” third Painleve equation, some linear differential equation in $3\times3$ matrices is considered. We parametrize asymptotics of solutions of the nonlinear Painleve equation at $\tau\to0$ as well as asymptotics of the regular solutions at $\tau\to\pm\infty$ in terms of the monodromy data of the linear equation. 
@article{ZNSL_1987_161_a3,
     author = {A. V. Kitaev},
     title = {The method of isomonodromic deformations for the ``degenerate'' third {Painleve} equation},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {45--53},
     publisher = {mathdoc},
     volume = {161},
     year = {1987},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_161_a3/}
}
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A. V. Kitaev. The method of isomonodromic deformations for the ``degenerate'' third Painleve equation. Zapiski Nauchnykh Seminarov POMI, Questions of quantum field theory and statistical physics. Part 7, Tome 161 (1987), pp. 45-53. http://geodesic.mathdoc.fr/item/ZNSL_1987_161_a3/