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Bifurcation analysis and the travelling wave solutions of the Klein–Gordon–Zakharov equations

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Abstract

In this paper, we investigate the bifurcations and dynamic behaviour of travelling wave solutions of the Klein–Gordon–Zakharov equations given in Shang et al, Comput. Math. Appl. 56, 1441 (2008). Under different parameter conditions, we obtain some exact explicit parametric representations of travelling wave solutions by using the bifurcation method (Feng et al, Appl. Math. Comput. 189, 271 (2007); Li et al, Appl. Math. Comput. 175, 61 (2006)).

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Acknowledgements

The authors would like to thank the referee for the valuable and helpful comments and suggestions. Zaiyun Zhang would like to express his gratitude to Prof. Dr Jian-hua Huang, Department of Mathematics of National University of Defense Technology, for his useful discussions concerning this paper.

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Authors and Affiliations

  1. School of Mathematics, Hunan Institute of Science and Technology, Yueyang, 414006, Hunan Province, People’s Republic of China

    ZAIYUN ZHANG & XIN-PING LI

  2. School of Mathematics and Computation Sciences, Hunan City University, Yiyang, 413000, Hunan Province, People’s Republic of China

    FANG-LI XIA

Authors
  1. ZAIYUN ZHANG
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  2. FANG-LI XIA
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  3. XIN-PING LI
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Correspondence to ZAIYUN ZHANG.

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ZHANG, Z., XIA, FL. & LI, XP. Bifurcation analysis and the travelling wave solutions of the Klein–Gordon–Zakharov equations. Pramana - J Phys 80, 41–59 (2013). https://doi.org/10.1007/s12043-012-0357-7

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  • DOI: https://doi.org/10.1007/s12043-012-0357-7

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