Article citationsMore>>
Sasaki, Y. (2014) Weierstrass’ Elliptic Function Solution to the Auto-nomous Limit of the String Equation of Type (2,5). Adv. Pure Math., 4, 494-497. Erratum to “Weierstrass’ Elliptic Function Solution to the Autonomous Limit of the String Equation of Type (2,5)”. [Advances in Pure Mathematics 4 (2014), 494-497], ibid., 680-681.
has been cited by the following article:
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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.