Connection formulae for asymptotics of solutions of the degenerate third Painlevé equation: II
Connection formulae for asymptotics of solutions of the degenerate third Painlevé equation: II
The degenerate third Painlevé equation, , where and , is studied via the isomonodromy deformation method. Asymptotics of general regular and singular solutions as τ → ±∞ and τ → ±i∞ are derived and parametrized in terms of the monodromy data of the associated 2 × 2 linear auxiliary problem …