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.
| Original language | English |
|---|---|
| Pages (from-to) | 3568-3577 |
| Number of pages | 10 |
| Journal | Applied Mathematics and Computation |
| Volume | 216 |
| Issue number | 12 |
| DOIs | |
| State | Published - 15 Aug 2010 |
Keywords
- Analytic solution
- Auto-Bäcklund transformation
- Painlevé analysis
- Similarity reduction
- Variable-coefficient Kadomtsev-Petviashvili equation
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