Gap solitons and Bloch waves in nonlinear periodic systems

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	Gap solitons and Bloch waves in nonlinear periodic systems
	Y. P. Zhang; Z. X. Liang; B. Wu
	2009
发表期刊	Physical Review A
ISSN	1050-2947
卷号	80 期号:6
摘要	We comprehensively investigate gap solitons and Bloch waves in one-dimensional nonlinear periodic systems. Our results show that there exists a composition relation between them: Bloch waves at either the center or edge of the Brillouin zone are infinite chains composed of fundamental gap solitons (FGSs). We argue that such a relation is related to the exact relation between nonlinear Bloch waves and nonlinear Wannier functions. With this composition relation, many conclusions can be drawn for gap solitons without any computation. For example, for the defocusing nonlinearity, there are n families of FGS in the nth linear Bloch band gap; for the focusing case, there are infinite number of families of FGSs in the semi-infinite gap and other gaps. In addition, the stability of gap solitons is analyzed. In literature, there are numerical results showing that some FGSs have cutoffs on propagation constant (or chemical potential), i.e., these FGSs do not exist for all values of propagation constant (or chemical potential) in the linear band gap. We develop an intuitive picture to describe this cutoff.
部门归属	[zhang, yongping; wu, biao] chinese acad sci, inst phys, beijing 100190, peoples r china. [liang, zhaoxin] chinese acad sci, shenyang natl lab mat sci, inst met res, shenyang 110016, peoples r china.;zhang, yp (reprint author), chinese acad sci, inst phys, beijing 100190, peoples r china
关键词	Bose-einstein Condensate Photonic Lattices Optical Lattices Modulational Instability Discrete Solitons Guide Arrays Dynamics
URL	查看原文
WOS记录号	WOS:000273233800166
引用统计	被引频次：42[WOS] [WOS记录] [WOS相关记录]
文献类型	期刊论文
条目标识符	http://ir.imr.ac.cn/handle/321006/32584
专题	中国科学院金属研究所
推荐引用方式 GB/T 7714	Y. P. Zhang,Z. X. Liang,B. Wu. Gap solitons and Bloch waves in nonlinear periodic systems[J]. Physical Review A,2009,80(6).
APA	Y. P. Zhang,Z. X. Liang,&B. Wu.(2009).Gap solitons and Bloch waves in nonlinear periodic systems.Physical Review A,80(6).
MLA	Y. P. Zhang,et al."Gap solitons and Bloch waves in nonlinear periodic systems".Physical Review A 80.6(2009).