A Burgers equation-based constructive method for solving nonlinear evolution equations

doi:10.1016/j.physleta.2005.12.087

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	A Burgers equation-based constructive method for solving nonlinear evolution equations
	Lu, ZS
	2006-04-24
发表期刊	PHYSICS LETTERS A
ISSN	0375-9601
卷号	353 期号:2-3 页码:158-160
摘要	Inspired by the extended tanh function method and the direct method of symmetry reduction, we present a Burgers equation-based constructive method for solving nonlinear evolution equations (NLEEs). This method allows us to generate the solutions of NLEEs by the solutions of the Burgers equation. Applying this method to the NLEEs, we can obtain soliton-like solutions, multi-soliton-like solutions, formal periodic solutions and rational solutions, etc. We take the Boiti-Leon-Pempinelli equation as an example to illustrate the algorithm. (c) 2005 Elsevier B.V. All rights reserved.
DOI	10.1016/j.physleta.2005.12.087
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000236631400009
出版者	ELSEVIER SCIENCE BV
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/3852
专题	中国科学院数学与系统科学研究院
通讯作者	Lu, ZS
作者单位	Chinese Acad Sci, Acad Math & Syst Sci, Key Lab Math Mechanizat, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Lu, ZS. A Burgers equation-based constructive method for solving nonlinear evolution equations[J]. PHYSICS LETTERS A,2006,353(2-3):158-160.
APA	Lu, ZS.(2006).A Burgers equation-based constructive method for solving nonlinear evolution equations.PHYSICS LETTERS A,353(2-3),158-160.
MLA	Lu, ZS."A Burgers equation-based constructive method for solving nonlinear evolution equations".PHYSICS LETTERS A 353.2-3(2006):158-160.