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.
|Number of pages||8|
|Journal||Journal of Physics A: Mathematical and General|
|Publication status||Published - 25 Sept 1998|
Scopus Subject Areas
- Statistical and Nonlinear Physics
- Mathematical Physics
- Physics and Astronomy(all)