The authors consider the equation (the special case of the Painleve equation of the second type). Using the method of monodromy preserving deformation they give the following description of asymptotic behavior of pure imaginary solution of the equation. As the asymptotic formula
holds, where , are the parameters of the solution u(x), . As two cases are possible.
If the parameters , satisfy some conditions then the asymptotic formula
If this condition is violated then the asymptotic formula
holds. Given is the explicit formula for calculating the parameters , in terms of the parameters ,. The authors admit that some of these results are not new.