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Weierstrass’ Elliptic Function Solution to the Autonomous Limit of the String Equation of Type (2,5)*
Department of Mathematics, Hiroshima University, Higashi-Hiroshima, Japan
- 1 Department of Mathematics, Hiroshima University, Higashi-Hiroshima, Japan
Advances in Pure Mathematics·Volume 04 (2014)·Pages 494–497·Published 15 August 2014·DOI10.4236/apm.2014.48055
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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 Painlev é equation, take the autonomous limit, and solve it concretely by use of the Weierstrass’ elliptic function.
KeywordsPainlevéHierarchyString EquationElliptic Function
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