On Differential Equations Derived from the Pseudospherical Surfaces

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	On Differential Equations Derived from the Pseudospherical Surfaces
	Yang, Hongwei 1; Wang, Xiangrong 1; Yin, Baoshu 2,3
刊名	ABSTRACT AND APPLIED ANALYSIS
	2014
页码	381717
通讯作者	Yin, BS (reprint author), Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China.
英文摘要	We construct two metric tensor fields; by means of these metric tensor fields, sinh-Gordon equation and elliptic sinh-Gordon equation are obtained, which describe pseudospherical surfaces of constant negative Riemann curvature scalar sigma = -2, sigma = -1, respectively. By employing the Backlund transformation, nonlinear superposition formulas of sinh- Gordon equation and elliptic sinh-Gordon equation are derived; various new exact solutions of the equations are obtained.
学科主题	Mathematics
收录类别	SCI
语种	英语
WOS记录号	WOS:000335310900001
内容类型	期刊论文
源URL	[http://ir.qdio.ac.cn/handle/337002/23955]
专题	海洋研究所_海洋环流与波动重点实验室
作者单位	1.Shandong Univ Sci & Technol, Coll Math & Syst Sci, Qingdao 266590, Peoples R China 2.Chinese Acad Sci, Inst Oceanol, Qingdao 266071, Peoples R China 3.Chinese Acad Sci, Key Lab Ocean Circulat & Wave, Qingdao 266071, Peoples R China
推荐引用方式 GB/T 7714	Yang, Hongwei,Wang, Xiangrong,Yin, Baoshu. On Differential Equations Derived from the Pseudospherical Surfaces[J]. ABSTRACT AND APPLIED ANALYSIS,2014:381717.
APA	Yang, Hongwei,Wang, Xiangrong,&Yin, Baoshu.(2014).On Differential Equations Derived from the Pseudospherical Surfaces.ABSTRACT AND APPLIED ANALYSIS,381717.
MLA	Yang, Hongwei,et al."On Differential Equations Derived from the Pseudospherical Surfaces".ABSTRACT AND APPLIED ANALYSIS (2014):381717.