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Some New Exact Solutions of (1 + 2)-Dimensional Sine-Gordon Equation

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  • Wei-Xiong Chen
  • Ji Lin

Abstract

We use a generalized tanh function expansion method and a direct method to study the analytical solutions of the (1 + 2)-dimensional sine Gordon (2DsG) equation. We obtain some new interaction solutions among solitary waves and periodic waves, such as the kink-periodic wave interaction solution, two-periodic solitoff solution, and two-toothed-solitoff solution. We also investigate the propagation properties of these solutions.

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  • Wei-Xiong Chen & Ji Lin, 2014. "Some New Exact Solutions of (1 + 2)-Dimensional Sine-Gordon Equation," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-8, January.
    • Handle: RePEc:hin:jnlaaa:645456
    DOI: 10.1155/2014/645456
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