Generalized Frobenius Integrable Decompositions for (2+1)-Dimensional Partial Differential Equations

CORC > 南海海洋研究所 > 中国科学院南海海洋研究所 > 中科院海洋生物资源可持续利用重点实验室

	Generalized Frobenius Integrable Decompositions for (2+1)-Dimensional Partial Differential Equations
	Yong, Fang 1; Yuan, Kong 1
刊名	JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE
	2015
卷号	12 期号:9 页码:2011-2015
关键词	Integrable Decompositions (2+1) Dimensional Soliton Equations Backlund Transformations Operator Transformation
英文摘要	Frobenius integrable decompositions are introduced for partial differential equations. Then, such integrable decompositions are generalized, which are applied to (2+1)-dimensional partial differential equations. Some generalized soliton equations are obtained which possess generalized Frobenius integrable decompositions, such as (2+1)-dimensional KdV equation, (2+1)-dimensional Burgers equation, (2+1)-dimensional dispersion equation, etc. Meanwhile, their special cases are just well-known KdV equation, Burgers equation, fifth-order dispersion equation, etc.
学科主题	Chemistry; Science & Technology - Other Topics; Materials Science; Physics
原文出处	1546-1955
内容类型	期刊论文
源URL	[http://ir.scsio.ac.cn/handle/344004/14774]
专题	南海海洋研究所_中科院海洋生物资源可持续利用重点实验室
作者单位	1.[Yong, Fang] Chinese Acad Sci, South China Sea Inst Oceanol, State Key Lab Trop Oceanol, Guangzhou 510301, Guangdong, Peoples R China 2.[Yuan, Kong] Huazhong Univ Sci & Technol, Sch Automat, Key Lab Image Proc & Intelligent Control, Wuhan 430074, Hubei, Peoples R China
推荐引用方式 GB/T 7714	Yong, Fang,Yuan, Kong. Generalized Frobenius Integrable Decompositions for (2+1)-Dimensional Partial Differential Equations[J]. JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE,2015,12(9):2011-2015.
APA	Yong, Fang,&Yuan, Kong.(2015).Generalized Frobenius Integrable Decompositions for (2+1)-Dimensional Partial Differential Equations.JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE,12(9),2011-2015.
MLA	Yong, Fang,et al."Generalized Frobenius Integrable Decompositions for (2+1)-Dimensional Partial Differential Equations".JOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE 12.9(2015):2011-2015.