Abstract
In this paper, a special integrable differential-difference equation and its related systems are studied. First of all, by using dependent variable transformations, this special lattice is transformed into two bilinear forms. As a result, the corresponding soliton solutions are obtained. A coupled set of bilinear equations is proposed and related to the same special lattice in a certain way. We also derive the C-flow and z-flow of the coupled bilinear equations. Lax pairs for the t-flow and the z-flow are given. Furthermore, a bilinear Bäcklund transformation and the corresponding nonlinear superposition formula for the coupled bilinear equations are presented. Soliton solutions to the coupled bilinear equations are derived.
Original language | English |
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Pages (from-to) | 265-272 |
Number of pages | 8 |
Journal | Journal of the Physical Society of Japan |
Volume | 72 |
Issue number | 2 |
DOIs | |
Publication status | Published - Feb 2003 |
Scopus Subject Areas
- General Physics and Astronomy
User-Defined Keywords
- Integrable lattices
- Lax pairs
- Soliton solutions