Sasaki, Y. (2015) Auxiliary Differential Polynomials for the First Painlevé Hierarchy. Proc. Japan Acad., Ser. A, 91, 7-8. http://dx.doi.org/10.3792/pjaa.91.7

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.