Y. Xiao et Wh. Hai, LATTICE SOLITARY WAVE SOLUTIONS OF DISCRETE NONLINEAR-WAVE EQUATIONS USING A DIRECT METHOD, Journal of physics. A, mathematical and general, 27(20), 1994, pp. 6873-6880
It is shown that the real exponential approach to the solutions of non
linear evolution and wave equations can also be applied to discrete sy
stems. As examples, the lattice solitary wave and kink solutions of th
e discrete modified KdV (DMKdV) equation and some modified versions of
this equation are derived using this approach