Published April 2009
| Version v1
Journal article
Hirota bilinear formalism and ultra-discrete singularity analysis
Creators
- 1. School of Mathematics and Statistics F07, University of Sydney, NSW2006 Sydney (Australia)
- 2. Department of Mathematics, College of Charleston, 175 Calhoun street, RSS room 339, Charleston, SC, 29424 (United States)
- 3. Centre de Physique Théorique, Ecole Polytechnique, CNRS, 91128 Palaiseau (France)
Description
Ultra-discrete equations are equations in which both the dependent and independent variables can be restricted to take only integer values. In this paper, we show that it is possible to use singularity analysis to obtain the Hirota bilinear form of ultra-discrete versions of integrable equations. This method is applied to ultra-discrete Painlevé equations and to integrable ultra-discrete equations in 1 + 1 dimensions
Availability note (English)
Available from http://dx.doi.org/10.1088/0951-7715/22/4/010Additional details
Identifiers
- DOI
- 10.1088/0951-7715/22/4/010;
- PII
- S0951-7715(09)89456-5;
Publishing Information
- Journal Title
- Nonlinearity (Print)
- Journal Volume
- 22
- Journal Issue
- 4
- Journal Page Range
- p. 871-887
- ISSN
- 0951-7715
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 44095623
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- DIFFERENTIAL EQUATIONS; INTEGRAL CALCULUS; SINGULARITY
- Descriptors DEC
- EQUATIONS; MATHEMATICS