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New Exact Solutions for a Higher-Order Wave Equation of KdV Type Using the Multiple Simplest Equation Method

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  • Yun-Mei Zhao

Abstract

In our work, a generalized KdV type equation of neglecting the highest-order infinitesimal term, which is an important water wave model, is discussed by using the simplest equation method and its variants. The solutions obtained are general solutions which are in the form of hyperbolic, trigonometric, and rational functions. These methods are more effective and simple than other methods and a number of solutions can be obtained at the same time.

Suggested Citation

  • Yun-Mei Zhao, 2014. "New Exact Solutions for a Higher-Order Wave Equation of KdV Type Using the Multiple Simplest Equation Method," Journal of Applied Mathematics, Hindawi, vol. 2014, pages 1-13, June.
    • Handle: RePEc:hin:jnljam:848069
    DOI: 10.1155/2014/848069
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    Cited by:

    1. Alemayehu Tamirie Deresse, 2022. "Double Sumudu Transform Iterative Method for One‐Dimensional Nonlinear Coupled Sine‐Gordon Equation," Advances in Mathematical Physics, John Wiley & Sons, vol. 2022(1).
    2. Nur Hasan Mahmud Shahen & Foyjonnesa & Md Habibul Bashar & Tasnim Tahseen & Sakhawat Hossain, 2021. "Solitary and Rogue Wave Solutions to the Conformable Time Fractional Modified Kawahara Equation in Mathematical Physics," Advances in Mathematical Physics, John Wiley & Sons, vol. 2021(1).
    3. Sakhawat Hossain & M. M. Rahman & Md. Habibul Bashar & Shimul Biswas & Md Mamunur Roshid, 2025. "Dynamical Structure of the Soliton Solution of M‐Fractional (2 + 1)‐Dimensional Heisenberg Ferromagnetic Spin Chain Model Through Advanced exp(−ϕ(ξ))‐Expansion Schemes in Mathematical Physics," Journal of Applied Mathematics, John Wiley & Sons, vol. 2025(1).

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