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Exact Solutions to the Two-Dimensional Spatially Inhomogeneous Cubic-Quintic Nonlinear Schrodinger Equation with an External Potential
Chen, JC ; Zhang, XF ; Li, BA ; Chen, Y
刊名CHINESE PHYSICS LETTERS
2012
卷号29期号:7
关键词MODEL
ISSN号0256-307X
通讯作者Li, BA: Ningbo Univ, Nonlinear Sci Ctr, Ningbo 315211, Zhejiang, Peoples R China.
中文摘要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.
收录类别SCI
资助信息National Natural Science Foundation of China [11041003, 11104064, 10934010, 60978019]; National Basic Researcher Program of China [2011CB921502, 2012CB821300]; Zhejiang Provincial Natural Science Foundation [Y6090592]; Ningbo Natural Science Foundation [2010A610095, 2010A610103, 2009B21003]; K.C. Wong Magna Fund in Ningbo University
语种英语
公开日期2013-09-17
内容类型期刊论文
源URL[http://ir.iphy.ac.cn/handle/311004/37688]  
专题物理研究所_物理所公开发表论文_物理所公开发表论文_期刊论文
推荐引用方式
GB/T 7714
Chen, JC,Zhang, XF,Li, BA,et al. Exact Solutions to the Two-Dimensional Spatially Inhomogeneous Cubic-Quintic Nonlinear Schrodinger Equation with an External Potential[J]. CHINESE PHYSICS LETTERS,2012,29(7).
APA Chen, JC,Zhang, XF,Li, BA,&Chen, Y.(2012).Exact Solutions to the Two-Dimensional Spatially Inhomogeneous Cubic-Quintic Nonlinear Schrodinger Equation with an External Potential.CHINESE PHYSICS LETTERS,29(7).
MLA Chen, JC,et al."Exact Solutions to the Two-Dimensional Spatially Inhomogeneous Cubic-Quintic Nonlinear Schrodinger Equation with an External Potential".CHINESE PHYSICS LETTERS 29.7(2012).
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