Abstract
The dynamical behavior of traveling wave solutions in a class of the nonlinear k(n, n) equations with negative exponents is studied by using the theory of bifurcations of dynamical systems. As a result, the dynamical behavior of different physical structure: solitary patterns, solitons, periodic, kink and anti-kink wave solutions are obtained. When parameters are varied, the conditions under which the above solutions appear are also shown. In addition, some exact explicit solutions are given.
| Original language | English |
|---|---|
| Pages (from-to) | 228-242 |
| Number of pages | 15 |
| Journal | Applied Mathematics and Computation |
| Volume | 197 |
| Issue number | 1 |
| DOIs | |
| State | Published - 15 Mar 2008 |
Keywords
- Kink and anti-kink wave
- Periodic wave
- Solitary wave
- The bifurcation theory
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