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Regarding New Wave Patterns of the Newly Extended Nonlinear (2+1)-Dimensional Boussinesq Equation with Fourth Order

Author

Listed:
  • Juan Luis García Guirao

    (Department of Applied Mathematics and Statistics, Technical University of Cartagena, Hospital de Marina 30203 Cartagena, Spain)

  • Haci Mehmet Baskonus

    (Department of Mathematics and Science Education, Faculty of Education, Harran University, 63100 Sanliurfa, Turkey)

  • Ajay Kumar

    (Department of Mathematics, H.N.B Garhwal University (A Central University), Srinagar 246174, India)

Abstract

This paper applies the sine-Gordon expansion method to the extended nonlinear (2+1)-dimensional Boussinesq equation. Many new dark, complex and mixed dark-bright soliton solutions of the governing model are derived. Moreover, for better understanding of the results, 2D, 3D and contour graphs under the strain conditions and the suitable values of parameters are also plotted.

Suggested Citation

  • Juan Luis García Guirao & Haci Mehmet Baskonus & Ajay Kumar, 2020. "Regarding New Wave Patterns of the Newly Extended Nonlinear (2+1)-Dimensional Boussinesq Equation with Fourth Order," Mathematics, MDPI, vol. 8(3), pages 1-9, March.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:3:p:341-:d:328125
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    References listed on IDEAS

    as
    1. Fan Zhang, 2019. "In the Dark," World Bank Publications - Books, The World Bank Group, number 30923.
    2. Kudryashov, Nikolay A., 2019. "Lax pair and first integrals of the traveling wave reduction for the KdV hierarchy," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 323-330.
    3. Wazwaz, Abdul-Majid, 2015. "New (3+1)-dimensional nonlinear evolution equations with mKdV equation constituting its main part: Multiple soliton solutions," Chaos, Solitons & Fractals, Elsevier, vol. 76(C), pages 93-97.
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