Exact Solutions to the Two-Dimensional Spatially Inhomogeneous Cubic-Quintic Nonlinear Schrodinger Equation with an External Potential

被引：5
|
作者：
Chen Jun-Chao [1 ]
Zhang Xiao-Fei [2 ,3 ]
Li Biao [1 ]
Chen Yong [4 ]
机构：
[1] Ningbo Univ, Nonlinear Sci Ctr, Ningbo 315211, Zhejiang, Peoples R China
[2] Chinese Acad Sci, Natl Time Serv Ctr, Xian 710600, Peoples R China
[3] Chinese Acad Sci, Inst Phys, Beijing 100190, Peoples R China
[4] E China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China
来源：
CHINESE PHYSICS LETTERS | 2012年 / 29卷 / 07期
基金：
中国国家自然科学基金;
关键词：
MODEL;
D O I：
10.1088/0256-307X/29/7/070303
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We investigate the two-dimensional spatially inhomogeneous cubic-quintic nonlinear Schrodinger 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 Schrodinger equations with spatially modulated nonlinearities.
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页数：4
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