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New Periodic Wave, Cross-Kink Wave, Breather, and the Interaction Phenomenon for the (2 + 1)-Dimensional Sharmo–Tasso–Olver Equation

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  • Hongcai Ma
  • Caoyin Zhang
  • Aiping Deng

Abstract

In this paper, with the aid of symbolic computation, several kinds of exact solutions including periodic waves, cross-kink waves, and breather are proposed by using a trilinear form for the (2 + 1)-dimensional Sharmo–Tasso–Olver equation. Then, by combing the different forms, the interactions between a lump and one-kink soliton and between a lump and periodic waves are generated. Moreover, the dynamic characteristics of interaction solutions are analyzed graphically by selecting suitable parameters with the help of Maple.

Suggested Citation

  • Hongcai Ma & Caoyin Zhang & Aiping Deng, 2020. "New Periodic Wave, Cross-Kink Wave, Breather, and the Interaction Phenomenon for the (2 + 1)-Dimensional Sharmo–Tasso–Olver Equation," Complexity, Hindawi, vol. 2020, pages 1-8, July.
    • Handle: RePEc:hin:complx:4270906
    DOI: 10.1155/2020/4270906
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