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Searching for Analytical Solutions of the (2+1)-Dimensional KP Equation by Two Different Systematic Methods

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  • Yongyi Gu
  • Fanning Meng

Abstract

In this paper, we derive analytical solutions of the (2+1)-dimensional Kadomtsev-Petviashvili (KP) equation by two different systematic methods. Using the - expansion method, exact solutions of the mentioned equation including hyperbolic, exponential, trigonometric, and rational function solutions have been obtained. Based on the work of Yuan et al. , we proposed the extended complex method to seek exact solutions of the (2+1)-dimensional KP equation. The results demonstrate that the applied methods are efficient and direct methods to solve the complex nonlinear systems.

Suggested Citation

  • Yongyi Gu & Fanning Meng, 2019. "Searching for Analytical Solutions of the (2+1)-Dimensional KP Equation by Two Different Systematic Methods," Complexity, Hindawi, vol. 2019, pages 1-11, August.
    • Handle: RePEc:hin:complx:9314693
    DOI: 10.1155/2019/9314693
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    References listed on IDEAS

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