Abstract
In this paper, by means of a proper transformation and symbolic computation, we study the travelling wave reduction for the generalized Pochhammer-Chree (PC) equations (1.3) and (1.4) by use of the recently proposed extended-tanh method. As a result, rich travelling wave solutions, which include kink-shaped solitons, bell-shaped solitons, periodic solutions, rational solutions, singular solitons, are obtained. At the same time, using a direct assumption method, the more general bell-shaped solitons for the generalized PC Eq. (1.3) are obtained. The properties of the solutions are show in figures.
| Original language | English |
|---|---|
| Pages (from-to) | 874-882 |
| Number of pages | 9 |
| Journal | Zeitschrift fur Naturforschung - Section A Journal of Physical Sciences |
| Volume | 57 |
| Issue number | 11 |
| DOIs | |
| State | Published - Nov 2002 |
| Externally published | Yes |
Keywords
- Extended-tanh Method
- Generalized PC Equations
- Solitons
- Symbolic Computation