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New doubly periodic solutions of (2+1)-dimensional nonlinear wave equations via the generalized sine-Gordon equation expansion method
Yan, ZY
2005-02-01
Source PublicationCHINESE JOURNAL OF PHYSICS
ISSN0577-9073
Volume43Issue:1Pages:26-42
AbstractA generalized sine-Gordon equation expansion method is developed using the famous sine-Gordon equation and a generalized transformation. The method is simple and more powerful than the known sine-cosine method and its extensions, as well as the sn- and cn-function method, for seeking more types of exact solutions of nonlinear wave equations. With the aid of Maple, we choose the (2+1)-dimensional modified KP equation and (2+1)-dimensional coupled Davey-Stewartson equation to illustrate this method. As a consequence many types of new doubly-periodic solutions are obtained. When the modulus m 1 the corresponding solutions reduce to solitary waves and their extensions. This method can be applied to the nonlinear wave equations in mathematical physics and carried out on a computer by the aid of Maple.
Language英语
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000227173600003
PublisherPHYSICAL SOC REPUBLIC CHINA
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/2151
Collection系统科学研究所
Corresponding AuthorYan, ZY
AffiliationChinese Acad Sci, AMSS, Inst Syst Sci, Key Lab Math Mech, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Yan, ZY. New doubly periodic solutions of (2+1)-dimensional nonlinear wave equations via the generalized sine-Gordon equation expansion method[J]. CHINESE JOURNAL OF PHYSICS,2005,43(1):26-42.
APA Yan, ZY.(2005).New doubly periodic solutions of (2+1)-dimensional nonlinear wave equations via the generalized sine-Gordon equation expansion method.CHINESE JOURNAL OF PHYSICS,43(1),26-42.
MLA Yan, ZY."New doubly periodic solutions of (2+1)-dimensional nonlinear wave equations via the generalized sine-Gordon equation expansion method".CHINESE JOURNAL OF PHYSICS 43.1(2005):26-42.
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