Wave dynamics for peaked solitons of the Camassa–Holm equation
| Autor: | Allen Parker |
|---|---|
| Rok vydání: | 2008 |
| Předmět: |
Physics
Annihilation Camassa–Holm equation General Mathematics Applied Mathematics Dynamics (mechanics) General Physics and Astronomy Statistical and Nonlinear Physics Nonlinear Sciences::Exactly Solvable and Integrable Systems Classical mechanics Amplitude Waveform Soliton Finite time Absorption (electromagnetic radiation) Nonlinear Sciences::Pattern Formation and Solitons Mathematical physics |
| Zdroj: | Chaos, Solitons & Fractals. 35:220-237 |
| ISSN: | 0960-0779 |
| DOI: | 10.1016/j.chaos.2007.07.049 |
| Popis: | A detailed investigation of the wave dynamics for multiply peaked solitons of the Camassa–Holm equation is presented. The analysis proceeds in terms of the underlying component “peakons” using entirely elementary methods. The two-wave interactions exhibit intricate and subtle features such as role reversal, soliton absorption and annihilation, wave steepening and monodirectional propagation (for finite time) and a critical (amplitude) ratio. The discussion covers the entirety of these waveforms comprising two-peakon, peakon–antipeakon and two-antipeakon solutions. Their properties transfer to multipeakon dynamics and examples of three-wave interactions are given. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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