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Abundant Interaction Solutions of Sine‐Gordon Equation

Author

Listed:
  • DaZhao Lü
  • YanYing Cui
  • ChangHe Liu
  • ShangWen Wu

Abstract

With the help of computer symbolic computation software (e.g., Maple), abundant interaction solutions of sine‐Gordon equation are obtained by means of a constructed Wronskian form expansion method. The method is based upon the forms and structures of Wronskian solutions of sine‐Gordon equation, and the functions used in the Wronskian determinants do not satisfy linear partial differential equations. Such interaction solutions are difficultly obtained via other methods. And the method can be automatically carried out in computer.

Suggested Citation

  • DaZhao Lü & YanYing Cui & ChangHe Liu & ShangWen Wu, 2012. "Abundant Interaction Solutions of Sine‐Gordon Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:842394
    DOI: 10.1155/2012/842394
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    References listed on IDEAS

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    1. Ma, Wen-Xiu & Lee, Jyh-Hao, 2009. "A transformed rational function method and exact solutions to the 3+1 dimensional Jimbo–Miwa equation," Chaos, Solitons & Fractals, Elsevier, vol. 42(3), pages 1356-1363.
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