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Interaction Behaviours between Soliton and Cnoidal Periodic Waves for Nonlocal Complex Modified Korteweg–de Vries Equation

Author

Listed:
  • Junda Peng

    (Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, China)

  • Bo Ren

    (Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, China)

  • Shoufeng Shen

    (Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, China)

  • Guofang Wang

    (Department of Applied Mathematics, Zhejiang University of Technology, Hangzhou 310023, China)

Abstract

The reverse space-time nonlocal complex modified Kortewewg–de Vries (mKdV) equation is investigated by using the consistent tanh expansion (CTE) method. According to the CTE method, a nonauto-Bäcklund transformation theorem of nonlocal complex mKdV is obtained. The interactions between one kink soliton and other different nonlinear excitations are constructed via the nonauto-Bäcklund transformation theorem. By selecting cnoidal periodic waves, the interaction between one kink soliton and the cnoidal periodic waves is derived. The specific Jacobi function-type solution and graphs of its analysis are provided in this paper.

Suggested Citation

  • Junda Peng & Bo Ren & Shoufeng Shen & Guofang Wang, 2022. "Interaction Behaviours between Soliton and Cnoidal Periodic Waves for Nonlocal Complex Modified Korteweg–de Vries Equation," Mathematics, MDPI, vol. 10(9), pages 1-7, April.
    • Handle: RePEc:gam:jmathe:v:10:y:2022:i:9:p:1429-:d:800514
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    Cited by:

    1. Savin Treanţă, 2022. "Variational Problems and Applications," Mathematics, MDPI, vol. 11(1), pages 1-4, December.

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