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Weierstrass' Elliptic Function Solutions to the Autonomous Limit of the String Equation

Yoshikatsu Sasaki
2016 Journal of Applied Mathematics and Physics  
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 Painlev éequation, take the autonomous limit, and solve it concretely by use of the Weierstrass' elliptic function.
doi:10.4236/jamp.2016.44093 fatcat:hfv72gm6lfblnbtoxeoals7dfu