Paper Info
Title
Bilinear Bäcklund transformations, kink periodic solitary wave and lump wave solutions of the Bogoyavlenskii-Kadomtsev-Petviashvili equation.
Abstract
This paper investigates the Bogoyavlenskii–Kadomtsev– Petviashvili equation by using the binary Bell polynomials method and differential constraint technique. Several kinds of more general bilinear representations and Bäklund transformations are presented. At the same time, multiple wave solutions including the kink periodic solitary wave and bright–dark lump wave solutions are constructed. The resonant interactions between two kink solitary waves are investigated and exhibited mathematically and graphically. Lump wave solutions, a kind of rational function localized in all directions of the space, are obtained by the Taylor expansion of the kink periodic solitary wave. Also, we discuss the dynamical behavior of the lump wave solutions and their structures.
Year
DOI
Venue
2018
10.1016/j.camwa.2018.03.047
Computers & Mathematics with Applications
Keywords
Field
DocType
Bogoyavlenskii–Kadomtsev–Petviashvili equation,Binary Bell polynomials,Bilinear representation,Kink periodic solitary wave,Lump wave
Kadomtsev–Petviashvili equation,Mathematical analysis,Bell polynomials,Rational function,Periodic graph (geometry),Mathematics,Taylor series,Bilinear interpolation,Binary number
Journal
Volume
Issue
ISSN
76
1
0898-1221
Citations 
PageRank 
References 
0
0.34
0
Authors
2
Name
Order
Citations
PageRank
Chuanjian Wang1305.99
Hui Fang210018.10