Abstract
The existence of breaking wave solutions of the second class of singular nonlinear wave equations is proved by methods from the dynamical systems theory. For the second class of singular nonlinear traveling wave equations, dynamical behaviors of the traveling wave solutions are completely classified and thoroughly discussed. Corresponding to some bounded orbits of the traveling systems, exact parametric representations of traveling wave solutions are derived within different parameter regions of the parameter space. © 2009 World Scientific Publishing Company.
| Original language | English |
|---|---|
| Pages (from-to) | 1289-1306 |
| Journal | International Journal of Bifurcation and Chaos |
| Volume | 19 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - Apr 2009 |
Research Keywords
- Breaking wave
- Exact explicit solution
- Kink wave
- Nonlinear wave equation
- Singular traveling wave equation
- Solitary wave
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