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The periodic wave solutions for the (3+1)-dimensional Klein–Gordon–Schrödinger equations

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  • Li, Xiaoyan
  • Yang, Sen
  • Wang, Mingliang

Abstract

More periodic wave solutions expressed by various Jacobi elliptic functions for the Klein–Gordon–Schrödinger equations are obtained by using the extended F-expansion method. In the limit cases, the solitary wave solutions and trigonometric function solutions for the equations are also obtained.

Suggested Citation

  • Li, Xiaoyan & Yang, Sen & Wang, Mingliang, 2005. "The periodic wave solutions for the (3+1)-dimensional Klein–Gordon–Schrödinger equations," Chaos, Solitons & Fractals, Elsevier, vol. 25(3), pages 629-636.
    • Handle: RePEc:eee:chsofr:v:25:y:2005:i:3:p:629-636
    DOI: 10.1016/j.chaos.2004.11.028
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    Cited by:

    1. Wang, Deng-Shan & Li, Hong-Bo & Wang, Jike, 2008. "The novel solutions of auxiliary equation and their application to the (2+1)-dimensional Burgers equations," Chaos, Solitons & Fractals, Elsevier, vol. 38(2), pages 374-382.
    2. Sheng, Zhang, 2006. "The periodic wave solutions for the (2+1)-dimensional Konopelchenko–Dubrovsky equations," Chaos, Solitons & Fractals, Elsevier, vol. 30(5), pages 1213-1220.
    3. Li, Donglong & Dai, Zhengde & Guo, Yanfeng & Zhou, Hongwei, 2009. "Doubly periodic wave solution to two-dimensional diffractive-diffusive Ginzburg–Landau equation," Chaos, Solitons & Fractals, Elsevier, vol. 42(4), pages 2288-2296.
    4. Sheng, Zhang, 2007. "The periodic wave solutions for the (2+1)-dimensional dispersive long water equations," Chaos, Solitons & Fractals, Elsevier, vol. 32(2), pages 847-854.

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