On the properties of solutions of a system of two nonlinear differential equations associated with the Josephson model
The analytical properties of solutions of the system\N\[\N\begin{aligned}\Nz^{2}u'&=z^{2}v+(1-l)zu-u^{2}v,\\\Nz^{2}v'&=-z^{2}u+lzv+uv^{2}(l=\mathrm{constant})\N\end{aligned}\N\]\Nare studied in the paper. It is shown that the solutions of the system have the Painlevé properties. Furthermore, this system can be reduced to the fifth Painlevé equation.
scientific article; zbMATH DE number 7864571