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The multiple soliton and peakon solutions of the Dullin-Gottwald-Holm equation
| Content Provider | Semantic Scholar |
|---|---|
| Author | Zha, Qilao |
| Copyright Year | 2016 |
| Abstract | Explicit multi-soliton and multi-peakon solutions of the Dullin-Gottwald-Holm equation are constructed via Darboux transformation and direct computation, respectively. To this end we first map the Dullin-Gottwald-Holm equation to a negative order KdV equation by a reciprocal transformation. Then we use the Darboux matrix approach to derive multi-soliton solutions of the Dullin-Gottwald-Holm equation from the solutions of the negative order KdV equation. Finally, we find multi-peakon solutions of the Dullin-Gottwald-Holm equation in weak sense. For $\alpha=\frac{1}{2}$ and $\alpha\neq \frac{1}{2}$, several types of two-peakon solutions are discussed in detail. Moreover, the dynamic behaviors of the obtained solutions are illustrated through some figures. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | https://arxiv.org/pdf/1610.07051v1.pdf |
| Language | English |
| Access Restriction | Open |
| Content Type | Text |
| Resource Type | Article |
