International Journal of Mathematics and Mathematical Sciences
Volume 2004 (2004), Issue 53-56, Pages 2989-3009
doi:10.1155/S0161171204310070
Pure imaginary solutions of the second Painlevé equation
Alisher S. Abdullayev
Department of Mathematics, American River College, 4700 College Oak Drive, Sacramento 95841, CA, USA
Abstract
We prove the existence and obtain local asymptotic formulas for pure imaginary solutions of the general second Painlevé equation.