The role of the seed solution in solving nonlinear equations

CSpace

	The role of the seed solution in solving nonlinear equations
	Ruan, HY ; Chen, YX
	2005-10-01
发表期刊	PHYSICA SCRIPTA
ISSN	0031-8949
卷号	72 期号:4 页码:320-326
摘要	Through solving higher-order Broer-kaup equation and ANNV equation we discuss in detail the relationship between the seed solution in the Backlund transformation and the structure of the exact solution. We find taking the seed solution as a zero solution the types of exact solutions are less and taking the seed solution as some nonzero solution one can obtain many special exact solutions such as localized structure, fractal and chaos. The seed solution in Backlund transformation is a transform bridge among different physics phenomena described by the various physics quantities.
语种	英语
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
WOS记录号	WOS:000233084400006
出版者	ROYAL SWEDISH ACAD SCIENCES
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/1262
专题	中国科学院数学与系统科学研究院
通讯作者	Ruan, HY
作者单位	1.Ningbo Univ, Inst Modern Phys, Ningbo 315211, Peoples R China 2.Acad Sinica, Inst Computat Math & Sci Engn Comp, Acad Math & Syst Sci, Beijing 100080, Peoples R China 3.Zhejiang Univ, Zhejiang Inst Modern Phys, Hangzhou 310027, Peoples R China
推荐引用方式 GB/T 7714	Ruan, HY,Chen, YX. The role of the seed solution in solving nonlinear equations[J]. PHYSICA SCRIPTA,2005,72(4):320-326.
APA	Ruan, HY,&Chen, YX.(2005).The role of the seed solution in solving nonlinear equations.PHYSICA SCRIPTA,72(4),320-326.
MLA	Ruan, HY,et al."The role of the seed solution in solving nonlinear equations".PHYSICA SCRIPTA 72.4(2005):320-326.