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Classification of traveling wave solutions of the modified Zakharov–Kuznetsov equation

Author

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  • Pan-Collantes, Antonio J.
  • Muriel, C.
  • Ruiz, A.

Abstract

The C∞-structure-based method of integration of distributions of vector fields is used to classify all the traveling wave solutions of the modified Zakharov–Kuznetsov equation. This work unifies and generalizes the particular results obtained in the recent literature by using specific ansatz-based methods.

Suggested Citation

  • Pan-Collantes, Antonio J. & Muriel, C. & Ruiz, A., 2025. "Classification of traveling wave solutions of the modified Zakharov–Kuznetsov equation," Chaos, Solitons & Fractals, Elsevier, vol. 193(C).
  • Handle: RePEc:eee:chsofr:v:193:y:2025:i:c:s0960077925001043
    DOI: 10.1016/j.chaos.2025.116091
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    References listed on IDEAS

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    1. Sanjaya K. Mohanty & Apul N. Dev & Soubhagya Kumar Sahoo & Homan Emadifar & Geeta Arora, 2023. "Exact Solutions of the Generalized ZK and Gardner Equations by Extended Generalized (G′/G)‐Expansion Method," Advances in Mathematical Physics, John Wiley & Sons, vol. 2023(1).
    2. M. Al-Amin & M. Nurul Islam & Onur Alp İlhan & M. Ali Akbar & Danyal Soybaş & Firdous A. Shah, 2022. "Solitary Wave Solutions to the Modified Zakharov–Kuznetsov and the (2 + 1)-Dimensional Calogero–Bogoyavlenskii–Schiff Models in Mathematical Physics," Journal of Mathematics, Hindawi, vol. 2022, pages 1-16, October.
    3. Sanjaya K. Mohanty & Apul N. Dev & Soubhagya Kumar Sahoo & Homan Emadifar & Geeta Arora & Kang-Jia Wang, 2023. "Exact Solutions of the Generalized ZK and Gardner Equations by Extended Generalized G′/G-Expansion Method," Advances in Mathematical Physics, Hindawi, vol. 2023, pages 1-12, March.
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