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New (3+1)-dimensional nonlinear evolution equations with mKdV equation constituting its main part: Multiple soliton solutions

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  • Wazwaz, Abdul-Majid

Abstract

In this work, we present two new (3+1)-dimensional nonlinear evolution equations where the modified KdV equation constituting its main part. We derive the dispersive relation and the phase shift for each model. We determine multiple soliton solutions for each new equation.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:76:y:2015:i:c:p:93-97
    DOI: 10.1016/j.chaos.2015.03.018
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    1. Hereman, Willy & Nuseir, Ameina, 1997. "Symbolic methods to construct exact solutions of nonlinear partial differential equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 43(1), pages 13-27.
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    Cited by:

    1. El-Tantawy, S.A. & Salas, Alvaro H. & Alharthi, M.R., 2021. "Novel analytical cnoidal and solitary wave solutions of the Extended Kawahara equation," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    2. 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.

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