The modified KdV equation with variable coefficients: Exact uni/bi-variable travelling wave-like solutions

doi:10.1016/j.amc.2008.04.006

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	The modified KdV equation with variable coefficients: Exact uni/bi-variable travelling wave-like solutions
	Yan, Zhenya1,2
刊名	APPLIED MATHEMATICS AND COMPUTATION
	2008-09-01
卷号	203 期号:1 页码:106-112
关键词	modified Korteweg-de Vries ( mKdV) equation with variable coefficients exact solutions
ISSN号	0096-3003
DOI	10.1016/j.amc.2008.04.006
英文摘要	In this paper, the modified Korteweg-de Vries (mKdV) equation with variable coefficients (vc-mKdV equation) is investigated via two kinds of approaches and symbolic computation. On the one hand, we firstly reduce the vc-mKdV equation to a second-order nonlinear nonhomogeneous ODE using travelling wave-like similarity transformation. And then we obtain its many types of exact fractional solutions with one travelling wave-like variable by applying some fractional transformations to the obtained nonlinear ODE. On the other hand, we reduce the vc-mKdV equation to two nonlinear PDEs with variable coefficients using the anti-tangent and anti-hypertangent function transformations, respectively. And then we given its many types of exact solutions with two different travelling wave-like variables by studying the obtained nonlinear PDE with variable coefficients. (c) 2008 Elsevier Inc. All rights reserved.
语种	英语
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000258832700014
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/5755]
专题	系统科学研究所
通讯作者	Yan, Zhenya
作者单位	1.Chinese Acad Sci, Inst Syst Sci, Key Lab Math Mechanizat, AMSS, Beijing 100080, Peoples R China 2.Chinese Acad Sci, Int Ctr Mat Phys, Shenyang 110016, Peoples R China
推荐引用方式 GB/T 7714	Yan, Zhenya. The modified KdV equation with variable coefficients: Exact uni/bi-variable travelling wave-like solutions[J]. APPLIED MATHEMATICS AND COMPUTATION,2008,203(1):106-112.
APA	Yan, Zhenya.(2008).The modified KdV equation with variable coefficients: Exact uni/bi-variable travelling wave-like solutions.APPLIED MATHEMATICS AND COMPUTATION,203(1),106-112.
MLA	Yan, Zhenya."The modified KdV equation with variable coefficients: Exact uni/bi-variable travelling wave-like solutions".APPLIED MATHEMATICS AND COMPUTATION 203.1(2008):106-112.