Exact Solutions to the Two-Dimensional Spatially Inhomogeneous Cubic-Quintic Nonlinear Schr(o)dinger Equation with an External Potential

作     者：CHEN Jun-Chao ZHANG Xiao-Fei LI Biao CHEN Yong 陈俊超;张晓斐;李彪;陈勇

作者机构：Nonlinear Science CenterNingbo UniversityNingbo 315211 National Time Service CenterChinese Academy of SciencesXi’an 710600 Institute of PhysicsChinese Academy of SciencesBeijing 100190 Shanghai Key Laboratory of Trustworthy ComputingEast China Normal UniversityShanghai 200062 

出 版 物：《Chinese Physics Letters》 (中国物理快报（英文版）)

年 卷 期：2012年第29卷第7期

页      面：10-13页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos 11041003,11104064,10934010 and 60978019 the National Basic Researcher Program of China under Grant Nos 2011CB921502 and 2012CB821300 Zhejiang Provincial Natural Science Foundation under Grant No Y6090592,Ningbo Natural Science Foundation under Grant Nos 2010A610095,2010A610103 and 2009B21003 K.C.Wong Magna Fund in Ningbo University 

主　　题：inhomogeneous periodic spatially 

摘      要：We investigate the two-dimensional spatially inhomogeneous cubic-quintic nonlinear Schr(o)digner equation with different external *** the absence of external potential or in the presence of harmonic potential,the number of localized nonlinear waves is associated not only with the boundary condition but also with the singularity of inhomogeneous cubic-quintic nonlinearities;while in the presence of periodic external potential,the periodic inhomogeneous cubic-quintic nonlinearities,together with the boundary condition,support the periodic solutions with an arbitrary number of circular rings in every *** results may stimulate new matter waves in high-dimensional Schr(o)digner equations with spatially modulated nonlinearities.