Solitons in two-dimensional lattices possessing defects, dislocations, and quasicrystal structures

作     者：Mark J. Ablowitz Boaz Ilan Ethan Schonbrun Rafael Piestun 

作者机构：Department of Applied Mathematics University of Colorado Boulder Colorado 80309-0526 USA School of Natural Sciences University of California Merced P.O. Box 2039 Merced California 95344 USA Department of Electrical and Computer Engineering University of Colorado Boulder Colorado 80309-0425 USA 

出 版 物：《Physical Review E》 (物理学评论E辑：统计、非线性和软体物理学)

年 卷 期：2006年第74卷第3期

页      面：035601(R)-035601(R)页

核心收录：

学科分类：07[理学] 070203[理学-原子与分子物理] 0702[理学-物理学] 

主　　题：NONLINEAR PHOTONIC LATTICES WAVE ARRAYS TRAINS LIGHT 

摘      要：Localized nonlinear modes, or solitons, are obtained for the two-dimensional nonlinear Schrödinger equation with various external potentials that possess large variations from periodicity, i.e., vacancy defects, edge dislocations, and quasicrystal structure. The solitons are obtained by employing a spectral fixed-point computational scheme. Investigation of soliton evolution by direct numerical simulations shows that irregular-lattice solitons can be stable, unstable, or undergo collapse.