Some properties of solutions of a $P$-type nonlinear equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 113 (1997) no. 2, pp. 285-288

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For a nonlinear ordinary differential equation (defining a polinomial Hamiltonian associated with the third Painlev'e equation in the case $\gamma=0$, $\alpha\delta\neq0$) we have obtained Bäcklund transformation and nonlinear functional relationship for solutions corresponding to different values of the parameter of the equation.
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     author = {V. V. Tsegel'nik},
     title = {Some properties of solutions of a $P$-type nonlinear equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     volume = {113},
     number = {2},
     year = {1997},
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V. V. Tsegel'nik. Some properties of solutions of a $P$-type nonlinear equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 113 (1997) no. 2, pp. 285-288. http://geodesic.mathdoc.fr/item/TMF_1997_113_2_a4/