Bifurcations and parametric representations of peakon, solitary wave and smooth periodic wave solutions for a two-component Degasperis-Procesi equation (Q1789777)
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scientific article; zbMATH DE number 6950544
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Bifurcations and parametric representations of peakon, solitary wave and smooth periodic wave solutions for a two-component Degasperis-Procesi equation |
scientific article; zbMATH DE number 6950544 |
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Bifurcations and parametric representations of peakon, solitary wave and smooth periodic wave solutions for a two-component Degasperis-Procesi equation (English)
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10 October 2018
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Summary: By using the bifurcation method of dynamical systems and the method of phase portraits analysis, we consider a two-component Degasperis-Procesi equation: \(m_t=-3mu_x-m_xu+k\rho\rho_x\), \(\rho_t=-\rho_x u+2\rho u_x\), the existence of the peakon, solitary wave and smooth periodic wave is proved, and exact parametric representations of above travelling wave solutions are obtained in different parameter regions.
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