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Generalized Frobenius Integrable Decompositions for (2+1)-Dimensional Partial Differential Equations
Yong, Fang1; Yuan, Kong1
2015
Source PublicationJOURNAL OF COMPUTATIONAL AND THEORETICAL NANOSCIENCE
Volume12Issue:9Pages:2011-2015
AbstractFrobenius 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.
DepartmentLMB
KeywordIntegrable Decompositions (2+1) Dimensional Soliton Equations Backlund Transformations Operator Transformation
Subject AreaChemistry ; Science & Technology - Other Topics ; Materials Science ; Physics
URL查看原文
Document Type期刊论文
Identifierhttp://ir.scsio.ac.cn/handle/344004/14774
Collection中科院海洋生物资源可持续利用重点实验室
Affiliation1.[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
Recommended Citation
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.
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