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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 Painleve equation, take the autonomous limit, and solve it concretely by use of the Weierstrass’ elliptic function.

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