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The bifurcation and peakon for Degasperis–Procesi equation

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  • Yu, Liqin
  • Tian, Lixin
  • Wang, Xuedi

Abstract

The analysis qualitative methods of planar dynamical systems are used to study the peaked solitary wave solutions for Degasperis–Procesi equation with the dispersion term. By using the phase portrait bifurcation of traveling wave system, periodic wave solutions and solitary wave solutions are constructed in two different ways, and their convergence is showed when g varies. The general explicit expression of peaked solitary wave solutions is obtained under some parameter conditions.

Suggested Citation

  • Yu, Liqin & Tian, Lixin & Wang, Xuedi, 2006. "The bifurcation and peakon for Degasperis–Procesi equation," Chaos, Solitons & Fractals, Elsevier, vol. 30(4), pages 956-966.
    • Handle: RePEc:eee:chsofr:v:30:y:2006:i:4:p:956-966
    DOI: 10.1016/j.chaos.2005.08.152
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    References listed on IDEAS

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    1. Guo, Boling & Liu, Zhengrong, 2005. "Periodic cusp wave solutions and single-solitons for the b-equation," Chaos, Solitons & Fractals, Elsevier, vol. 23(4), pages 1451-1463.
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    Cited by:

    1. Xu, Chuanhai & Tian, Lixin, 2009. "The bifurcation and peakon for K(2,2) equation with osmosis dispersion," Chaos, Solitons & Fractals, Elsevier, vol. 40(2), pages 893-901.

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