Abstract
The well-known Hirota-Satsuma coupled KdV equation and a coupled Ito system are reviewed. A new type of soliton solutions to these two systems under constant boundary condition at infinity is found. The so-called generalized Hirota-Satsuma coupled KdV system is also considered. Starting from its bilinear forms, we obtain a Bäcklund transformation and the corresponding nonlinear superposition formulae. As a result, soliton solutions first obtained by Satsuma and Hirota can be rederived. Moreover, rational solutions are also given.
| Original language | English |
|---|---|
| Pages (from-to) | 45-52 |
| Number of pages | 8 |
| Journal | Journal of the Physical Society of Japan |
| Volume | 69 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - Jan 2000 |
Scopus Subject Areas
- Physics and Astronomy(all)
User-Defined Keywords
- Bäcklund transformation
- Hirota's method
- Integrable systems
- Solitons