Abstract
An improved homogeneous balance (IHB) method is introduced. On using the IHB method, a new auto-Bäcklund transformation and multi-solitonic solutions were obtained for a generalized variable-coefficient Burgers equation. The obtained solitary waves were found to propagate with a variable propagating speed which depends on the coefficients of the studied model. Also, fusion of two single solitary waves into a one-resonant solitary wave is pointed out.
| Original language | English |
|---|---|
| Pages (from-to) | 1821-1827 |
| Number of pages | 7 |
| Journal | International Journal of Modern Physics C |
| Volume | 19 |
| Issue number | 12 |
| DOIs | |
| State | Published - Dec 2008 |
| Externally published | Yes |
Keywords
- Auto-Bäcklund transformation
- Homogeneous balance method
- Single and multiple solitary wave solutions
- Variable-coefficient Burgers equation
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