Title
Painlevé analysis and new analytic solutions for variable-coefficient Kadomtsev–Petviashvili equation with symbolic computation
Abstract
The variable-coefficient Kadomtsev–Petviashvili (KP) equation is hereby under investigation. Painlevé analysis is given out, and an auto-Bäcklund transformation is presented via the truncated Painlevé expansion. Based on the auto-Bäcklund transformation, new analytic solutions are given, including the soliton-like and periodic solutions. It is also reduced to a (1+1)-dimensional partial differential equation via classical Lie group method and the Painlevé I equation by CK direct method.
Year
DOI
Venue
2010
10.1016/j.amc.2010.05.002
Applied Mathematics and Computation
Keywords
DocType
Volume
Variable-coefficient Kadomtsev–Petviashvili equation,Painlevé analysis,Auto-Bäcklund transformation,Analytic solution,Similarity reduction
Journal
216
Issue
ISSN
Citations 
12
0096-3003
2
PageRank 
References 
Authors
0.77
0
3
Name
Order
Citations
PageRank
Xiao-Nan Li120.77
Guang-Mei Wei241.93
Yueqian Liang384.00