Published September 2006
| Version v1
Journal article
On Fay identity
Creators
- 1. Department of Mathematics, SUNY Suffolk County Community College, 533 College Road, Selden, New York 11784 (United States)
Description
In the first part of this paper we consider the transformation of the cubic identities for general Korteweg-de Vries (KdV) tau functions from [Mishev, J. Math. Phys. 40, 2419-2428 (1999)] to the specific identities for trigonometric KdV tau functions. Afterwards, we consider the Fay identity as a functional equation and provide a wide set of solutions of this equation. The main result of this paper is Theorem 3.4, where we generalize the identities from Mishev. An open problem is the transformation of the cubic identities from Mishev to the specific identities for elliptic KdV tau functions
Additional details
Identifiers
- DOI
- 10.1063/1.2338146;
Publishing Information
- Journal Title
- Journal of Mathematical Physics
- Journal Volume
- 47
- Journal Issue
- 9
- Journal Page Range
- p. 093503-093503.9
- ISSN
- 0022-2488
- CODEN
- JMAPAQ
INIS
- Country of Publication
- United States
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 38023861
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- FUNCTIONAL ANALYSIS; FUNCTIONS; KORTEWEG-DE VRIES EQUATION; MATHEMATICAL SOLUTIONS; TRANSFORMATIONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS
Optional Information
- Notes
- (c) 2006 American Institute of Physics