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.