W. Zhang et Y. Xiao, SOLITON-SOLUTIONS OF THE DISCRETE NONLINEAR SCHRODINGER-EQUATION WITHNONVANISHING BOUNDARY-CONDITIONS, Communications in Theoretical Physics, 30(3), 1998, pp. 341-342
Exact soliton solutions of the dark discrete nonlinear Schrodinger (DN
LS) equation with nonvanishing boundary conditions are found and espec
ially it is shown that the dark DNLS equation can have both dark and b
right soliton solutions. Some solitary wave solutions of the DNLS equa
tion with nonvanishing boundary conditions are also derived.