Non-Lie symmetry groups and new exact solutions of a (2+1)-dimensional generalized Broer–Kaup system

► By the modified CK’s direct method, we obtain the theorems of general symmetry groups for the (2 + 1)-dimensional Generalized Broer–Kaup system (GBK system). ► Lie point symmetry groups of the GBK system can easily be obtained from the theorems. ► The theorems show us the relationship between new...

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Bibliographic Details
Published in:Communications in nonlinear science & numerical simulation 2011-10, Vol.16 (10), p.3933-3940
Main Authors: Wang, Hong, Tian, Ying-Hui
Format: Article
Language:English
Subjects:
(2+1)-Dimensional generalized Broer–Kaup system
Computer simulation
Exact solutions
Mathematical analysis
Mathematical models
Modified CK’s direct method
Nonlinearity
Symmetry
Symmetry groups
Theorems
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Summary:► By the modified CK’s direct method, we obtain the theorems of general symmetry groups for the (2 + 1)-dimensional Generalized Broer–Kaup system (GBK system). ► Lie point symmetry groups of the GBK system can easily be obtained from the theorems. ► The theorems show us the relationship between new solutions and the old ones of GBK system. ► We derive many new solutions of GBK System from the known ones given by previous literatures. By the modified CK’s direct method, the symmetry groups theorem of a (2+1)-dimensional generalized Broer–Kaup system is derived. Based upon the results, Lie point symmetry groups and new exact solutions of a (2+1)-dimensional generalized Broer–Kaup system are obtained.
ISSN:1007-5704
1878-7274
DOI:10.1016/j.cnsns.2011.02.004