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F -Expansion Method and Its Application for Finding New Exact Solutions to the Kudryashov-Sinelshchikov Equation

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  • Yun-Mei Zhao

Abstract

Based on the F -expansion method, and the extended version of F -expansion method, we investigate the exact solutions of the Kudryashov-Sinelshchikov equation. With the aid of Maple, more exact solutions expressed by Jacobi elliptic function are obtained. When the modulus m of Jacobi elliptic function is driven to the limits 1 and 0, some exact solutions expressed by hyperbolic function solutions and trigonometric functions can also be obtained.

Suggested Citation

  • Yun-Mei Zhao, 2013. "F -Expansion Method and Its Application for Finding New Exact Solutions to the Kudryashov-Sinelshchikov Equation," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-7, April.
  • Handle: RePEc:hin:jnljam:895760
    DOI: 10.1155/2013/895760
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    Cited by:

    1. Kumar, Sachin & Kumar, Dharmendra & Kumar, Amit, 2021. "Lie symmetry analysis for obtaining the abundant exact solutions, optimal system and dynamics of solitons for a higher-dimensional Fokas equation," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    2. Aly R. Seadawy & Hanadi Zahed & Mujahid Iqbal, 2022. "Solitary Wave Solutions for the Higher Dimensional Jimo-Miwa Dynamical Equation via New Mathematical Techniques," Mathematics, MDPI, vol. 10(7), pages 1-15, March.

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