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.