Weierstrass’ Elliptic Function Solution to the Autonomous Limit of the String Equation of Type (2,5)*

Yoshikatsu Sasaki

Department of Mathematics, Hiroshima University, Higashi-Hiroshima, Japan.

DOI: 10.4236/apm.2014.48055                

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.

Keywords

Painlevé Hierarchy, String Equation, Elliptic Function

Conflicts of Interest

The authors declare no conflicts of interest.

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