Journal
OPTIK
Volume 144, Issue -, Pages 54-61Publisher
ELSEVIER GMBH
DOI: 10.1016/j.ijleo.2017.06.093
Keywords
BKP equation; KMV type Lie algebra; Generalized transformation group; Ibragimov's theorem; Conservation law
Categories
Funding
- National Natural Science Foundation of China [11501266, 11661047]
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In this paper, by using the generalized symmetry method we get the symmetries, Kac-Moody-Virasoro (KMV) type Lie algebras of the Bogoyavlenskii-Kadomtsev-Petviashvili (BKP) equation. Based on the obtained symmetry structure, we directly construct the generalized transformation groups for the BKP equation. It can be divided into two types of subgroups, one is the Lie symmetry group and the other is the discrete symmetry group. Finally, we also give the conservation laws by using Ibragimov's theorem. (C) 2017 Elsevier GmbH. All rights reserved.
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