The inviscid limit of the derivative complex Ginzburg-Landau equation

doi:10.1016/j.matpur.2003.11.002

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	The inviscid limit of the derivative complex Ginzburg-Landau equation
	Wang, BX ; Wang, YD
	2004-04-01
发表期刊	JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
ISSN	0021-7824
卷号	83 期号:4 页码:477-502
摘要	We show that the solutions of the derivative complex Ginzburg-Landau equation u(t)-(epsilon+i) x u(xx)+(a+i)g(\u\(2))u+(alpha+ibeta)(\u\(2)u)x=0 converge to the solution of the derivative nonlinear Schrodinger equation u(t)- iu(xx)+ig(\u\(2))u+alpha(\u\(2)u)x=0 if the real parameters E, a and tend to 0. Moreover, an optimal convergence rate is also given. (C) 2003 Elsevier SAS. All rights reserved.
关键词	derivative complex Ginzburg-Landau equation derivative nonlinear Schrodinger equation inviscid limit
DOI	10.1016/j.matpur.2003.11.002
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000220833200002
出版者	GAUTHIER-VILLARS/EDITIONS ELSEVIER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/552
专题	数学所
通讯作者	Wang, BX
作者单位	1.Peking Univ, Dept Math, Beijing 100871, Peoples R China 2.Chinese Acad Sci, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Wang, BX,Wang, YD. The inviscid limit of the derivative complex Ginzburg-Landau equation[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,2004,83(4):477-502.
APA	Wang, BX,&Wang, YD.(2004).The inviscid limit of the derivative complex Ginzburg-Landau equation.JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,83(4),477-502.
MLA	Wang, BX,et al."The inviscid limit of the derivative complex Ginzburg-Landau equation".JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 83.4(2004):477-502.