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A direct truncation method for finding abundant exact solutions and application to the one-dimensional higher-order Schrodinger equation
Zhao, D; Luo, HG; Wang, SJ; Wei, Z; Zhao, D , Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China.
2005
发表期刊CHAOS SOLITONS & FRACTALS
ISSN0960-0779
卷号24期号:2页码:533-547
摘要We suggest a direct truncation technique for finding exact solutions of nonlinear differential equation, this method is based on the WTC test. As an application, abundant new exact stationary solutions of the one-dimensional higher-order nonlinear Schrodinger equation are obtained. These solutions include bright, dark, kink or anti-kink solitary wave solutions, which are dependent of the model and free parameters in the solutions. Algebraic solitary-like solution and new periodic solutions are also obtained. An interesting fact is that some solitary solutions can convert into the periodic solutions and vice versa when the free parameters are changed. (C) 2004 Elsevier Ltd. All rights reserved.
部门归属Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China; Lanzhou Univ, Dept Modern Phys, Lanzhou 730000, Peoples R China; Acad Sinica, Inst Theoret Phys, Beijing 100080, Peoples R China; Sichuan Univ, Dept Phys, Chengdu 610064, Peoples R China
关键词Solitary-wave Solutions Ordinary Differential-equations Linear Evolution-equations Systems
学科领域Physics
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收录类别SCI
WOS记录号WOS:000226855200014
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被引频次:3[WOS]   [WOS记录]     [WOS相关记录]
文献类型期刊论文
条目标识符http://ir.itp.ac.cn/handle/311006/13855
专题1978-2010年知识产出
通讯作者Zhao, D , Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China.
推荐引用方式
GB/T 7714
Zhao, D,Luo, HG,Wang, SJ,et al. A direct truncation method for finding abundant exact solutions and application to the one-dimensional higher-order Schrodinger equation[J]. CHAOS SOLITONS & FRACTALS,2005,24(2):533-547.
APA Zhao, D,Luo, HG,Wang, SJ,Wei, Z,&Zhao, D , Lanzhou Univ, Dept Math, Lanzhou 730000, Peoples R China..(2005).A direct truncation method for finding abundant exact solutions and application to the one-dimensional higher-order Schrodinger equation.CHAOS SOLITONS & FRACTALS,24(2),533-547.
MLA Zhao, D,et al."A direct truncation method for finding abundant exact solutions and application to the one-dimensional higher-order Schrodinger equation".CHAOS SOLITONS & FRACTALS 24.2(2005):533-547.
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