Journal
COMPUTERS & MATHEMATICS WITH APPLICATIONS
Volume 74, Issue 12, Pages 3296-3302Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.camwa.2017.08.012
Keywords
BKP equation; Non-auto Baclund transformation; Nonlocal symmetry; CRE solvability; Kink-lump wave solutions
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Funding
- National Natural Science Foundation of China [11501266, 11661047]
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In this paper, we study the Bogoyavlenskii-Kadomtsev- Petviashvili (BKP) equation by using the truncated Painleve method and consistent Riccati expansion (CRE). Through the truncated Painleve method, its nonlocal symmetry and non-auto Backlund transformation are presented. The nonlocal symmetry is localized to a local Lie point group via a prolonged system. Moreover, with the help of the CRE method, we prove that the BKP equation is CRE solvable. Finally, the kink-lump wave interaction solution of BKP equation is explicitly given by using the trilinear form. The interaction between kink wave and lump wave is investigated and exhibited mathematically and graphically. (C) 2017 Elsevier Ltd. All rights reserved.
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