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Bounded Traveling Waves of the (2+1)-Dimensional Zoomeron Equation

Author

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  • Yuqian Zhou
  • Shanshan Cai
  • Qian Liu

Abstract

The bifurcation method of dynamical system and numerical simulation method of differential equation are employed to investigate the (2+1)-dimensional Zoomeron equation. We obtain the parameter bifurcation sets that divide the parameter space into different regions which correspond to qualitatively different phase portraits. According to these phase portraits, all bounded traveling waves are identified and simulated, including solitary wave solutions, shock wave solutions, and periodic wave solutions. Furthermore, all exact expressions of these bounded traveling waves are given. Among them, the elliptic function periodic wave solutions are new solutions.

Suggested Citation

  • Yuqian Zhou & Shanshan Cai & Qian Liu, 2015. "Bounded Traveling Waves of the (2+1)-Dimensional Zoomeron Equation," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-10, September.
    • Handle: RePEc:hin:jnlmpe:163597
    DOI: 10.1155/2015/163597
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    Cited by:

    1. Ullah, Mohammad Safi & Baleanu, Dumitru & Ali, M. Zulfikar & Harun-Or-Roshid,, 2023. "Novel dynamics of the Zoomeron model via different analytical methods," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

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