Abstract
By using the theory of bifucations of dynamical systems to a model of the Hydrogen-bonded systems, the existence of solitary wave, kink and anti-kink wave solutions and uncountably infinite many smooth and non-smooth periodic wave solutions is obtained. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given. In some simple parametric conditions, exact explicit and implicit solution formulas are listed.
| Original language | English |
|---|---|
| Pages (from-to) | 242-271 |
| Number of pages | 30 |
| Journal | Applied Mathematics and Computation |
| Volume | 171 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Dec 2005 |
Keywords
- Kink and anti-kink wave solutions
- Periodic travelling wave solution
- Smoothness of waves
- Solitary travelling wave solution