Bifurcations of smooth and non-smooth travelling wave solutions of the Degasperis-Procesi equation. (English) Zbl 1401.35276
Summary: The dynamical behaviour and exact special solutions of Degasperis-Procesi equation are studied by bifurcation theory of dynamical systems to show the reason why the peakon arises.
MSC:
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
| 35B32 | Bifurcations in context of PDEs |
| 37G10 | Bifurcations of singular points in dynamical systems |
