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Title: Breather solutions of the discrete nonlinear Schroedinger equations with sign changing nonlinearity

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.3580561· OSTI ID:21501317
 [1]
  1. Department of Mathematics, Morgan State University 1700 E Cold Spring Ln, Baltimore, Maryland 21239 (United States)

In this paper, we investigate the breather solutions of the discrete nonlinear Schroedinger 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.

OSTI ID:
21501317
Journal Information:
Journal of Mathematical Physics, Vol. 52, Issue 4; Other Information: DOI: 10.1063/1.3580561; (c) 2011 American Institute of Physics; ISSN 0022-2488
Country of Publication:
United States
Language:
English