A truncated Painleve expansion and exact analytical solutions for the nonlinear Schrodinger equation with variable coefficients

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	A truncated Painleve expansion and exact analytical solutions for the nonlinear Schrodinger equation with variable coefficients
	Li, B ; Chen, Y
	2005-11-01
发表期刊	ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES
ISSN	0932-0784
卷号	60 期号:11-12 页码:768-774
摘要	By using the truncated Painleve expansion analysis an auto-Backlund transformation is found for the nonlinear Schrodinger equation with varying dispersion, nonlinearity, and gain or absorption. Then, based on the obtained auto-Backlund transformation and symbolic computation, we explore some explicit exact solutions including soliton-like solutions, singular soliton-like solutions, which may be useful to explain the corresponding physical phenomena. Further, the formation and interaction of solitons are simulated by computer.
关键词	truncated Painleve expansion backlund transformation symbolic computation nonlinear Schrodinger equation solitons
语种	英语
WOS研究方向	Chemistry ; Physics
WOS类目	Chemistry, Physical ; Physics, Multidisciplinary
WOS记录号	WOS:000235958100002
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/1361
专题	中国科学院数学与系统科学研究院
通讯作者	Li, B
作者单位	1.Shanghai Jiao Tong Univ, Dept Phys, Shanghai 200030, Peoples R China 2.Ningbo Univ, Nonlinear Sci Ctr, Ningbo 315211, 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, B,Chen, Y. A truncated Painleve expansion and exact analytical solutions for the nonlinear Schrodinger equation with variable coefficients[J]. ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,2005,60(11-12):768-774.
APA	Li, B,&Chen, Y.(2005).A truncated Painleve expansion and exact analytical solutions for the nonlinear Schrodinger equation with variable coefficients.ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES,60(11-12),768-774.
MLA	Li, B,et al."A truncated Painleve expansion and exact analytical solutions for the nonlinear Schrodinger equation with variable coefficients".ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES 60.11-12(2005):768-774.