Breather solutions of the discrete nonlinear Schrodinger equations with sign changing nonlinearity

摘要

In this paper, we investigate the breather solutions of the discrete nonlinear Schrodinger equation with the unbounded potential and nonlinearity containing both self-focusing and defocusing sites (which means the coefficients of nonlinearity change sign). By using the generalized Nehari manifold method, we obtain the existence of nontrivial exponential decay breather solutions.