Gap solitons in periodic discrete nonlinear Schrödinger equations with saturable nonlinearities |
| |
Authors: | Alexander Pankov |
| |
Institution: | Department of Mathematics, Morgan State University, 1700 E Cold Spring Ln, Baltimore, MD 21251, USA |
| |
Abstract: | The main result of the paper concerns the existence of nontrivial exponentially decaying solutions to periodic stationary discrete nonlinear Schrödinger equations with saturable nonlinearities, provided that zero belongs to a spectral gap of the linear part. The proof is based on the critical point theory in combination with periodic approximations of solutions. As a preliminary step, we prove also the existence of nontrivial periodic solutions with arbitrarily large periods. |
| |
Keywords: | Discrete nonlinear Schrö dinger equation Gap soliton Periodic approximation Linking theorem |
本文献已被 ScienceDirect 等数据库收录! |
|