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New Interaction Solutions of (3+1)‐Dimensional KP and (2+1)‐Dimensional Boussinesq Equations

Author

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  • Bo Ren
  • Jun Yu
  • Xi-Zhong Liu

Abstract

The consistent tanh expansion (CTE) method has been succeeded to apply to the nonintegrable (3+1)‐dimensional Kadomtsev‐Petviashvili (KP) and (2+1)‐dimensional Boussinesq equations. The interaction solution between one soliton and one resonant soliton solution for the (3+1)‐dimensional KP equation is obtained with CTE method. The interaction solutions among one soliton and cnoidal waves for these two equations are also explicitly given. These interaction solutions are investigated in both analytical and graphical ways. It demonstrates that the interactions between one soliton and cnoidal waves are elastic with phase shifts.

Suggested Citation

  • Bo Ren & Jun Yu & Xi-Zhong Liu, 2015. "New Interaction Solutions of (3+1)‐Dimensional KP and (2+1)‐Dimensional Boussinesq Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).
    • Handle: RePEc:wly:jnlaaa:v:2015:y:2015:i:1:n:213847
    DOI: 10.1155/2015/213847
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    References listed on IDEAS

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    1. Yan, Zhenya, 2007. "Multiple solution profiles to the higher-dimensional Kadomtsev–Petviashvilli equations via Wronskian determinant," Chaos, Solitons & Fractals, Elsevier, vol. 33(3), pages 951-957.
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