| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4631932 | Applied Mathematics and Computation | 2010 | 10 Pages |
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Xiao-Nan Li, Guang-Mei Wei, Yue-Qian Liang,