Published March 9, 2012
| Version v1
Journal article
A finite genus solution of the Hirota equation via integrable symplectic maps
Creators
- 1. Department of Mathematics, Zhengzhou University, Zhengzhou, Henan 450001 (China)
Description
Two integrable symplectic maps are constructed through nonlinearization of the discrete linear spectral problems in the Lax pair of the Hirota equation, i.e. the lattice sine-Gordon equation. As an application, these maps are used to calculate the finite genus solutions of the Hirota equation and the closely related lattice potential MKdV equation, i.e. the special H3 model in the Adler–Bobenko–Suris list. (paper)
Availability note (English)
Available from http://dx.doi.org/10.1088/1751-8113/45/9/095203Additional details
Identifiers
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and Theoretical (Online)
- Journal Volume
- 45
- Journal Issue
- 9
- Journal Page Range
- [25 p.]
- ISSN
- 1751-8121
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 43100930
- Subject category
- S97: MATHEMATICAL METHODS AND COMPUTING;
- Descriptors DEI
- INTEGRAL CALCULUS; KORTEWEG-DE VRIES EQUATION; MAPS; MATHEMATICAL SOLUTIONS; POTENTIALS; SINE-GORDON EQUATION
- Descriptors DEC
- DIFFERENTIAL EQUATIONS; EQUATIONS; FIELD EQUATIONS; MATHEMATICS; PARTIAL DIFFERENTIAL EQUATIONS