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Backlund transformations for the initial problems of Nizhnich and Nizhnich-Novikov-Veselov equations
Su, HL; Wang, ML; Qin, MZ
2003-07-15
Source PublicationCOMMUNICATIONS IN THEORETICAL PHYSICS
ISSN0253-6102
Volume40Issue:1Pages:15-18
AbstractThe homogeneous balance method is a method for solving general partial differential equations (PDEs). In this paper we solve a kind of initial problems of the PDEs by using the special Backlund transformations of the initial problem. The basic Fourier transformation method and some variable-separation skill are used as auxiliaries. Two initial problems of Nizhnich and the Nizhnich-Novikov-Veselov equations are solved by using this approach.
KeywordBacklund transformation initial problem Nizhnick equation Nizhnich-Novikov-Veselov equation homogeneous balance method
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000184479200003
PublisherINT ACADEMIC PUBL
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/18257
Collection中国科学院数学与系统科学研究院
Affiliation1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, State Key Lab Sci & Engn Comp, Beijing 100080, Peoples R China
2.Luoyang Inst Technol, Dept Math, Luoyang 471039, Peoples R China
Recommended Citation
GB/T 7714
Su, HL,Wang, ML,Qin, MZ. Backlund transformations for the initial problems of Nizhnich and Nizhnich-Novikov-Veselov equations[J]. COMMUNICATIONS IN THEORETICAL PHYSICS,2003,40(1):15-18.
APA Su, HL,Wang, ML,&Qin, MZ.(2003).Backlund transformations for the initial problems of Nizhnich and Nizhnich-Novikov-Veselov equations.COMMUNICATIONS IN THEORETICAL PHYSICS,40(1),15-18.
MLA Su, HL,et al."Backlund transformations for the initial problems of Nizhnich and Nizhnich-Novikov-Veselov equations".COMMUNICATIONS IN THEORETICAL PHYSICS 40.1(2003):15-18.
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