A Generalized Sub-Equation Expansion Method and Some Analytical Solutions to the Inhomogeneous Higher-Order Nonlinear Schrodinger Equation

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	A Generalized Sub-Equation Expansion Method and Some Analytical Solutions to the Inhomogeneous Higher-Order Nonlinear Schrodinger Equation
	Li, Biao 1,3; Chen, Yong 1,2; Li, Yu-Qi 1,3
	2008-12-01
发表期刊	ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
ISSN	0932-0784
卷号	63 期号:12 页码:763-777
摘要	On the basis of symbolic computation a generalized sub-equation expansion method is presented for constructing sonic exact analytical solutions of nonlinear partial differential equations. To illustrate the validity of the method, we investigate the exact analytical solutions of the inhomogeneous high-order nonlinear Schrodinger equation (IHNLSE) including not only the group velocity dispersion, self-phase-modulation, but also various high-order effects, such as the third-order dispersion, self-steepening and self-frequency shift. As a result, a broad class of exact analytical solutions of the IHNLSE are obtained. From our results, many previous solutions of some nonlinear Schrodinger-type equations can be recovered by means of suitable selections of the arbitrary functions and arbitrary constants. With the aid of computer simulation, the abundant structure of bright and dark solitary wave solutions, combined-type solitary wave solutions, dispersion-managed solitary wave solutions, Jacobi elliptic function solutions and Weierstrass elliptic function solutions are shown by some figures.
关键词	Inhomogeneous High-Order NLS Equation Elliptic Function Solutions Solitary Wave Solutions
语种	英语
资助项目	NSF of China[10747141] ; NSF of China[10735030] ; Zhejiang Provincial NSF of China[605408] ; Ningbo NSF[2007A610049] ; Ningbo NSF[2006A610093] ; Ningbo University
WOS研究方向	Chemistry ; Physics
WOS类目	Chemistry, Physical ; Physics, Multidisciplinary
WOS记录号	WOS:000263552600004
出版者	VERLAG Z NATURFORSCH
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/5598
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Biao
作者单位	1.Ningbo Univ, Ctr Nonlinear Sci, Ningbo 315211, Zhejiang, Peoples R China 2.E China Normal Univ, Inst Theoret Comp, Shanghai 200062, Peoples R China 3.Chinese Acad Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, Biao,Chen, Yong,Li, Yu-Qi. A Generalized Sub-Equation Expansion Method and Some Analytical Solutions to the Inhomogeneous Higher-Order Nonlinear Schrodinger Equation[J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,2008,63(12):763-777.
APA	Li, Biao,Chen, Yong,&Li, Yu-Qi.(2008).A Generalized Sub-Equation Expansion Method and Some Analytical Solutions to the Inhomogeneous Higher-Order Nonlinear Schrodinger Equation.ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,63(12),763-777.
MLA	Li, Biao,et al."A Generalized Sub-Equation Expansion Method and Some Analytical Solutions to the Inhomogeneous Higher-Order Nonlinear Schrodinger Equation".ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES 63.12(2008):763-777.