Published July 5, 2013
| Version v1
Journal article
Solutions to the ultradiscrete KdV equation expressed as the maximum of a quadratic function
Creators
- 1. Graduate School of Mathematical Sciences, The University of Tokyo, 3-8-1 Komaba, Meguro-ku, 153-8914 Tokyo (Japan)
Description
We propose the functions defined by the maximum of a discrete quadratic form and satisfying the ultradiscrete KdV equation. These functions include not only soliton solutions but also pseudo-periodic solutions. In the proof, we employ some facts of discrete convex analysis. (paper)
Availability note (English)
Available from http://dx.doi.org/10.1088/1751-8113/46/26/265203Additional details
Identifiers
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and Theoretical (Online)
- Journal Volume
- 46
- Journal Issue
- 26
- Journal Page Range
- [14 p.]
- ISSN
- 1751-8121
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 44120318
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- FUNCTIONS; KORTEWEG-DE VRIES EQUATION; MATHEMATICAL SOLUTIONS; PERIODICITY; SOLITONS
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; PARTIAL DIFFERENTIAL EQUATIONS; QUASI PARTICLES; VARIATIONS