Sasaki, Y. (2013) Lower Estimates of the Growth Order of Solutions to the Second Painlevé Hierarchy. J. Math. Phys., 54, 073510.

has been cited by the following article:

• TITLE: Weierstrass’ Elliptic Function Solutions to the Autonomous Limit of the String Equation

  AUTHORS: Yoshikatsu Sasaki

  KEYWORDS: Painlevé Hierarchy, String Equation, Elliptic Function

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.4 No.4, April 30, 2016

  ABSTRACT: In this article, we study the string equation of type (2, 2n + 1), which is derived from 2D gravity theory or the string theory. We consider the equation as a 2n-th order analogue of the first Painlevéequation, take the autonomous limit, and solve it concretely by use of the Weierstrass’ elliptic function.