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The Improved (G’/G)‐Expansion Method for the (2+1)‐Dimensional Modified Zakharov‐Kuznetsov Equation

Author

Listed:
  • Hasibun Naher
  • Farah Aini Abdullah

Abstract

we apply the improved (G′/G)‐expansion method for constructing abundant new exact traveling wave solutions of the (2+1)‐dimensional Modified Zakharov‐Kuznetsov equation. In addition, G″ + λG′ + μG = 0 together with b(α)=∑q=−wwpq(G′/G) q is employed in this method, where pq (q = 0, ±1, ±2, …, ±w), λ and μ are constants. Moreover, the obtained solutions including solitons and periodic solutions are described by three different families. Also, it is noteworthy to mention out that, some of our solutions are coincided with already published results, if parameters taken particular values. Furthermore, the graphical presentations are demonstrated for some of newly obtained solutions.

Suggested Citation

  • Hasibun Naher & Farah Aini Abdullah, 2012. "The Improved (G’/G)‐Expansion Method for the (2+1)‐Dimensional Modified Zakharov‐Kuznetsov Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnljam:v:2012:y:2012:i:1:n:438928
    DOI: 10.1155/2012/438928
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    References listed on IDEAS

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    14. Khaled A. Gepreel & A. R. Shehata, 2012. "Jacobi Elliptic Solutions for Nonlinear Differential Difference Equations in Mathematical Physics," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    15. Yongkun Li & Chao Wang, 2012. "Three Positive Periodic Solutions to Nonlinear Neutral Functional Differential Equations with Parameters on Variable Time Scales," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-28, March.
    16. Ni Hua & Tian Li-Xin & Yao Hong-Xing, 2012. "On the Positive Almost Periodic Solutions of a Class of Nonlinear Lotka-Volterra Type System with Feedback Control," Journal of Applied Mathematics, Hindawi, vol. 2012, pages 1-15, March.
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    1. Hasibun Naher & Farah Aini Abdullah, 2012. "New Traveling Wave Solutions by the Extended Generalized Riccati Equation Mapping Method of the (2 + 1)‐Dimensional Evolution Equation," Journal of Applied Mathematics, John Wiley & Sons, vol. 2012(1).
    2. M. Al-Amin & M. Nurul Islam & Onur Alp İlhan & M. Ali Akbar & Danyal Soybaş, 2022. "Solitary Wave Solutions to the Modified Zakharov–Kuznetsov and the (2 + 1)‐Dimensional Calogero–Bogoyavlenskii–Schiff Models in Mathematical Physics," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).

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