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Exact Solutions for -Dimensional Nonlinear Fokas Equation Using Extended F -Expansion Method and Its Variant

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  • Yinghui He

Abstract

The construction of exact solution for higher-dimensional nonlinear equation plays an important role in knowing some facts that are not simply understood through common observations. In our work, -dimensional nonlinear Fokas equation, which is an important physical model, is discussed by using the extended F -expansion method and its variant. And some new exact solutions expressed by Jacobi elliptic function, Weierstrass elliptic function, hyperbolic function, and trigonometric function are obtained. The related results are enriched.

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  • Yinghui He, 2014. "Exact Solutions for -Dimensional Nonlinear Fokas Equation Using Extended F -Expansion Method and Its Variant," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-11, April.
    • Handle: RePEc:hin:jnlmpe:972519
    DOI: 10.1155/2014/972519
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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. Wael W. Mohammed & Clemente Cesarano & Farah M. Al-Askar, 2022. "Solutions to the (4+1)-Dimensional Time-Fractional Fokas Equation with M-Truncated Derivative," Mathematics, MDPI, vol. 11(1), pages 1-13, December.

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