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New explicit solutions for (2+1)-dimensional soliton equation

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  • Ye, Caier
  • Zhang, Weiguo

Abstract

In this Letter, we study (2+1)-dimensional soliton equation by using the bifurcation theory of planar dynamical systems. Following a dynamical system approach, in different parameter regions, we depict phase portraits of a travelling wave system. Bell profile solitary wave solutions, kink profile solitary wave solutions and periodic travelling wave solutions are given. Further, we present the relations between the bounded travelling wave solutions and the energy level h. Through discussing the energy level h, we obtain all explicit formulas of solitary wave solutions and periodic wave solutions.

Suggested Citation

  • Ye, Caier & Zhang, Weiguo, 2011. "New explicit solutions for (2+1)-dimensional soliton equation," Chaos, Solitons & Fractals, Elsevier, vol. 44(12), pages 1063-1069.
    • Handle: RePEc:eee:chsofr:v:44:y:2011:i:12:p:1063-1069
    DOI: 10.1016/j.chaos.2011.08.011
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    References listed on IDEAS

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    1. Al-Mdallal, Qasem M. & Syam, Muhammad I., 2007. "Sine–Cosine method for finding the soliton solutions of the generalized fifth-order nonlinear equation," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1610-1617.
    2. El-Wakil, S.A. & Abulwafa, E.M. & Elhanbaly, A. & Abdou, M.A., 2007. "The extended homogeneous balance method and its applications for a class of nonlinear evolution equations," Chaos, Solitons & Fractals, Elsevier, vol. 33(5), pages 1512-1522.
    3. Abdou, M.A., 2007. "The extended F-expansion method and its application for a class of nonlinear evolution equations," Chaos, Solitons & Fractals, Elsevier, vol. 31(1), pages 95-104.
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