A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations

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	A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations
	Wu, YT ; Geng, XG ; Hu, XB ; Zhu, SM
	1999-05-17
发表期刊	PHYSICS LETTERS A
ISSN	0375-9601
卷号	255 期号:4-6 页码:259-264
摘要	By introducing a 4 X 4 matrix spectral problem with three potentials, we propose a new hierarchy of nonlinear evolution equations. A typical equation in the hierarchy is a generalization of the Hirota-Satsuma coupled Korteweg-de Vries equation. Also, it is shown that the hierarchy possesses the generalized Hamiltonian form. Further, a Miura transformation related to the typical equation and its reductions are derived, from which some new coupled modified Korteweg-de Vries equations are obtained. (C) 1999 Elsevier Science B.V. All rights reserved.
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000080681100010
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/14496
专题	中国科学院数学与系统科学研究院
通讯作者	Wu, YT
作者单位	1.Hong Kong Baptist Univ, Dept Comp Studies, Kowloon, Hong Kong 2.CCAST, World Lab, Beijing 100080, Peoples R China 3.Zhengzhou Univ, Dept Math, Zhengzhou 450052, Peoples R China 4.Acad Sinica, State Key Lab Sci & Engn Comp, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China 5.Zhongshan Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China
推荐引用方式 GB/T 7714	Wu, YT,Geng, XG,Hu, XB,et al. A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations[J]. PHYSICS LETTERS A,1999,255(4-6):259-264.
APA	Wu, YT,Geng, XG,Hu, XB,&Zhu, SM.(1999).A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations.PHYSICS LETTERS A,255(4-6),259-264.
MLA	Wu, YT,et al."A generalized Hirota-Satsuma coupled Korteweg-de Vries equation and Miura transformations".PHYSICS LETTERS A 255.4-6(1999):259-264.