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 
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/
@article{ZNSL_1987_161_a3,
     author = {A. V. Kitaev},
     title = {The method of isomonodromic deformations for the {\textquotedblleft}degenerate{\textquotedblright} third {Painleve} equation},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {45--53},
     year = {1987},
     volume = {161},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_161_a3/}
}
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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.