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Nonlocal Symmetry, CRE Solvability, and Exact Interaction Solutions of the (2 + 1)-Dimensional Boussinesq Equation

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  • Sixing Tao
  • Ram Jiwari

Abstract

The (2 + 1)-dimensional Boussinesq equation is considered in this study. Nonlocal symmetries of the (2 + 1)-dimensional Boussinesq equation are obtained by means of the truncated Painlevé expansion. The consistent Riccati expansion (CRE) solvability of the Boussinesq equation is derived. Three special forms of soliton-cnoidal wave interaction solutions are discussed analytically and shown graphically.

Suggested Citation

  • Sixing Tao & Ram Jiwari, 2022. "Nonlocal Symmetry, CRE Solvability, and Exact Interaction Solutions of the (2 + 1)-Dimensional Boussinesq Equation," Journal of Mathematics, Hindawi, vol. 2022, pages 1-11, April.
    • Handle: RePEc:hin:jjmath:7850824
    DOI: 10.1155/2022/7850824
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