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目前显示的是标签为“Elliptic Function”的博文

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]

Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=52798#.VKNrhMnQrzE Author(s)    Yoshikatsu Sasaki 1* Affiliation(s) 1 Department of Mathematics, Hiroshima University, Higashi-Hiroshima, Japan . ABSTRACT In this note, we analyze a few major claims about . As a consequence, we rewrite a major theorem, nullify its proof and one remark of importance, and offer a valid proof for it. The most important gift of this paper is probably the reasoning involved in all: We observe that a constant, namely t, has been changed into a variable, and we then tell why such a move could not have been made, we observe the discrepancy between the claimed domain and the actual domain of a su...

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

Read full paper at: http://www.scirp.org/journal/PaperInformation.aspx?PaperID=49144#.VDTrDVfHRK0 Author(s)      Yoshikatsu Sasaki Affiliation(s) Department of Mathematics, Hiroshima University, Higashi-Hiroshima, Japan . 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. KEYWORDS Painlevé Hierarchy , String Equation , Elliptic Function Cite this paper ...