Abstract
A new discrete isospectral problem and the corresponding hierarchy of nonlinear differential-difference equations are proposed. It is shown that the hierarchy of differential-difference equations possesses the Hamiltonian structures. A Darboux transformation for the discrete spectral problem is found. As an application, two-soliton solutions for the first system of differential-difference equations in the hierarchy are given.
| Original language | English |
|---|---|
| Pages (from-to) | L677-L684 |
| Number of pages | 8 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 31 |
| Issue number | 38 |
| DOIs | |
| Publication status | Published - 25 Sept 1998 |
| Externally published | Yes |
Scopus Subject Areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)