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.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have