| Volume 6, Number 4, 2016, Pages 968-980 DOI：10.11948/2016063 |
| Exact traveling wave solutions and bifurcations for the Dullin-Gottwald-Holm equation |
| Weiqin Yu,Na Li,Fangqi Chen,Shouwei Zhao |
| Keywords:Dullin-Gottwald-Holm equation, bifurcation, solitary wave solution, periodic wave solution, breaking loop wave solution. |
| Abstract: |
| Utilizing the methods of dynamical system theory, the Dullin-Gottwald-Holm equation is studied in this paper. The dynamical behaviors of the traveling wave solutions and their bifurcations are presented in different parameter regions. Furthermore, the exact explicit forms of all possible bounded solutions, such as solitary wave solutions, periodic wave solutions and breaking loop wave solutions are obtained. |
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