Abstract
The fourth-order analogue of the second Painleve equation is considered. The monodromy manifold for a Lax pair associated with the P 2 2 equation is constructed. The direct monodromy problem for the Lax pair is solved. Asymptotic solutions expressed via trigonometric functions in the Boutroux variables along the rays ϕ = $$\frac{2}{5}$$ π(2n + 1) on the complex plane have been found by the isomonodromy deformations technique.
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