Abstract
In this paper, based on the idea of the homogeneous balance method and with the help of Mathematica, we obtain a new auto-Backlund transformation for the generalized two-dimensional Korteweg- de Vries-Burgers-type equation and a new auto-Backlund transformation for the generalized two-dimensional Burgers-type equation by introducing two appropriate transformations. Then, based on these two auto-Backlund transformation, some exact solutions for these equations are derived. Some figures are given to show the properties of the solutions.
| Original language | English |
|---|---|
| Pages (from-to) | 464-472 |
| Number of pages | 9 |
| Journal | Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences |
| Volume | 58 |
| Issue number | 7-8 |
| DOIs | |
| State | Published - Aug 2003 |
| Externally published | Yes |
Keywords
- Auto-Backlund transformation
- Homogeneous balance method
- Mathematica
- Solitary-wave solution
- Two-dimensional Burgers-type equation
- Two-dimensional Korteweg-de Vries-Burgers-type equation