Published October 14, 2005
| Version v1
Journal article
On the Toda lattice equation with self-consistent sources
Creators
- 1. Department of Mathematical Sciences, Tsinghua University, 100084 Beijing (China)
Description
The Toda lattice hierarchy with self-consistent sources and their Lax representation are derived. We construct a forward Darboux transformation (FDT) with arbitrary functions of time and a generalized forward Darboux transformation (GFDT) for Toda lattice with self-consistent sources (TLSCS), which can serve as a non-auto-Baecklund transformation between TLSCS with different degrees of sources. With the help of such DT, we can construct many types of solutions to TLSCS, such as rational solution, solitons, positons, negetons, and soliton-positons, soliton-negatons, positon-negatons etc, and study properties and interactions of these solutions
Availability note (English)
Available online at http://stacks.iop.org/0305-4470/38/8951/a5_41_008.pdf or at the Web site for the Journal of Physics. A, Mathematical and General (ISSN 1361-6447) http://www.iop.org/Additional details
Identifiers
- URL
- http://stacks.iop.org/0305-4470/38/8951/a5_41_008.pdf; http://www.iop.org/;
- DOI
- 10.1088/0305-4470/38/41/008;
- PII
- S0305-4470(05)99503-6;
Publishing Information
- Journal Title
- Journal of Physics. A, Mathematical and General
- Journal Volume
- 38
- Journal Issue
- 41
- Journal Page Range
- p. 8951-8965
- ISSN
- 0305-4470
- CODEN
- JPHAC5
INIS
- Country of Publication
- United Kingdom
- Country of Input or Organization
- International Atomic Energy Agency (IAEA)
- INIS RN
- 36098543
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Descriptors DEI
- BAECKLUND TRANSFORMATION; ELECTRONS; EQUATIONS; INTERACTIONS; LAX THEOREM; MATHEMATICAL SOLUTIONS; SOLITONS; TIME DEPENDENCE
- Descriptors DEC
- ELEMENTARY PARTICLES; FERMIONS; LEPTONS; QUASI PARTICLES; TRANSFORMATIONS