TITLE:
Weierstrass’ Elliptic Function Solution to the Autonomous Limit of the String Equation of Type (2,5)*
AUTHORS:
Yoshikatsu Sasaki
KEYWORDS:
Painlevé Hierarchy, String Equation, Elliptic Function
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.4 No.8,
August
26,
2014
ABSTRACT:
In this article, we study the string equation of type (2,5), which is
derived from 2D gravity theory or the string theory. We consider the equation
as a 4th order analogue of the first Painlevé equation, take the autonomous limit, and solve it
concretely by use of the Weierstrass’ elliptic function.