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General Degasperis-Procesi equation and its solitary wave solutions

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  • Rodriguez, J. Noyola
  • Omel’yanov, G.

Abstract

We consider the general Degasperis-Procesi model of shallow water out-flows. This six parametric family of conservation laws contains, in particular, KdV, Benjamin-Bona-Mahony, Camassa-Holm, and Degasperis-Procesi equations. The main result consists of criterions which guarantee the existence of solitary wave solutions: solitons and peakons (“peaked solitons”).

Suggested Citation

  • Rodriguez, J. Noyola & Omel’yanov, G., 2019. "General Degasperis-Procesi equation and its solitary wave solutions," Chaos, Solitons & Fractals, Elsevier, vol. 118(C), pages 41-46.
    • Handle: RePEc:eee:chsofr:v:118:y:2019:i:c:p:41-46
    DOI: 10.1016/j.chaos.2018.10.031
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    References listed on IDEAS

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    1. Qiao, Zhijun, 2008. "M-Shape peakons, dehisced solitons, cuspons and new 1-peak solitons for the Degasperis–Procesi equation," Chaos, Solitons & Fractals, Elsevier, vol. 37(2), pages 501-507.
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    Cited by:

    1. Omel’yanov, G., 2020. "Collision of solitons in non-integrable versions of the Degasperis-Procesi model," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).

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