Abstract
In this paper, by introducing some proper transformations, the applied range of the homogenous balance (HB) method is extended. With the help of Mathematica, we obtain three auto-Bäcklund transformations (BT) for the generalized Fithugh-Nagumo equation, the generalized Burgers-Fisher equation, the generalized Burgers-Huxley equation, respectively, by use of the extended HB method. From these BTs, some exact solutions for these equations are derived.
| Original language | English |
|---|---|
| Pages (from-to) | 167-176 |
| Number of pages | 10 |
| Journal | Czechoslovak Journal of Physics |
| Volume | 54 |
| Issue number | 2 |
| DOIs | |
| State | Published - Feb 2004 |
| Externally published | Yes |
Keywords
- Bäcklund transformation
- Generalized Burgers-Fisher equation
- Generalized Burgers-Huxley equation
- Generalized Fithugh-Nagumo equation
- Homogenous balance method
- Solitons
- Symbolic computation
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