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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