摘要
We investigate the two-dimensional spatially inhomogeneous cubic-quintic nonlinear Schr(o)digner equation with different external potentials.In 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 unit.Our results may stimulate new matter waves in high-dimensional Schr(o)digner equations with spatially modulated nonlinearities.
作者
CHEN Jun-Chao
ZHANG Xiao-Fei
LI Biao
CHEN Yong
陈俊超;张晓斐;李彪;陈勇(Nonlinear Science Center,Ningbo University,Ningbo 315211;National Time Service Center,Chinese Academy of Sciences,Xi’an 710600;Institute of Physics,Chinese Academy of Sciences,Beijing 100190;Shanghai Key Laboratory of Trustworthy Computing,East China Normal University,Shanghai 200062)
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.
