Lie group method for solving the negative-order kadomtsev–petviashvili equation (Nkp)
Funding Sponsor
American University
Third Author's Department
Physics Department
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https://doi.org/10.3390/sym13020224
Document Type
Research Article
Publication Title
Symmetry
Publication Date
2-1-2021
doi
10.3390/sym13020224
Abstract
A comprehensive study of the negative-order Kadomtsev–Petviashvili (nKP) partial differential equation by Lie group method has been presented. Initially the infinitesimal generators and symmetry reduction, which were obtained by applying the Lie group method on the negative-order Kadomtsev–Petviashvili equation, have been used for constructing the reduced equations. In particular, the traveling wave solutions for the negative-order KP equation have been derived from the reduced equations as an invariant solution. Finally, the extended improved (G' / G) method and the extended tanh method are described and applied in constructing new explicit expressions for the traveling wave solutions. Many new and more general exact solutions are obtained.
First Page
1
Last Page
19
Recommended Citation
APA Citation
Laouini, G.
Amin, A.
&
Moustafa, M.
(2021). Lie group method for solving the negative-order kadomtsev–petviashvili equation (Nkp). Symmetry, 13(2), 1–19.
10.3390/sym13020224
https://fount.aucegypt.edu/faculty_journal_articles/2656
MLA Citation
Laouini, Ghaylen, et al.
"Lie group method for solving the negative-order kadomtsev–petviashvili equation (Nkp)." Symmetry, vol. 13,no. 2, 2021, pp. 1–19.
https://fount.aucegypt.edu/faculty_journal_articles/2656