Paper Info
Title
Non-auto Bäclund transformation, nonlocal symmetry and CRE solvability for the Bogoyavlenskii-Kadomtsev-Petviashvili equation.
Abstract
In this paper, we study the Bogoyavlenskii–Kadomtsev– Petviashvili (BKP) equation by using the truncated Painlevé method and consistent Riccati expansion (CRE). Through the truncated Painlevé method, its nonlocal symmetry and non-auto Bäcklund 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.
Year
DOI
Venue
2017
10.1016/j.camwa.2017.08.012
Computers & Mathematics with Applications
Keywords
Field
DocType
BKP equation,Non-auto Bäclund transformation,Nonlocal symmetry,CRE solvability,Kink-lump wave solutions
Mathematical physics,Mathematical analysis,Kadomtsev–Petviashvili equation,Mathematics
Journal
Volume
Issue
ISSN
74
12
0898-1221
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Chuanjian Wang1305.99
Hui Fang262.84