Abstract
A new (2 + 1)-dimensional soliton equation and its spectral problems are presented. The Darboux transformation with multi-parameters for the spectral problems is constructed with the help of a gauge transformation. And by using the Darboux transformation, some new bidirectional soliton solutions of the (2 + 1)-dimensional soliton equation are obtained. An interesting solution of three-peak soliton has been found.
| Original language | English |
|---|---|
| Pages (from-to) | 1422-1428 |
| Number of pages | 7 |
| Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |
| Volume | 372 |
| Issue number | 9 |
| DOIs | |
| State | Published - 25 Feb 2008 |
Keywords
- (2 + 1)-dimensional soliton equation
- Darboux transformation
- Soliton solution