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Exact Solutions of the Space Time Fractional Symmetric Regularized Long Wave Equation Using Different Methods

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  • Özkan Güner
  • Dursun Eser

Abstract

We apply the functional variable method, exp‐function method, and (G′/G)‐expansion method to establish the exact solutions of the nonlinear fractional partial differential equation (NLFPDE) in the sense of the modified Riemann‐Liouville derivative. As a result, some new exact solutions for them are obtained. The results show that these methods are very effective and powerful mathematical tools for solving nonlinear fractional equations arising in mathematical physics. As a result, these methods can also be applied to other nonlinear fractional differential equations.

Suggested Citation

  • Özkan Güner & Dursun Eser, 2014. "Exact Solutions of the Space Time Fractional Symmetric Regularized Long Wave Equation Using Different Methods," Advances in Mathematical Physics, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlamp:v:2014:y:2014:i:1:n:456804
    DOI: 10.1155/2014/456804
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    References listed on IDEAS

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    1. Hasan Bulut & Haci Mehmet Baskonus & Yusuf Pandir, 2013. "The Modified Trial Equation Method for Fractional Wave Equation and Time Fractional Generalized Burgers Equation," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-8, September.
    2. He, Ji-Huan & Abdou, M.A., 2007. "New periodic solutions for nonlinear evolution equations using Exp-function method," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1421-1429.
    3. Hasan Bulut & Haci Mehmet Baskonus & Yusuf Pandir, 2013. "The Modified Trial Equation Method for Fractional Wave Equation and Time Fractional Generalized Burgers Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
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    Cited by:

    1. Zhang, Jing & Zheng, Zhen & Meng, Hui & Wang, Zenggui, 2025. "Bifurcation analysis and exact solutions of the conformable time fractional Symmetric Regularized Long Wave equation," Chaos, Solitons & Fractals, Elsevier, vol. 190(C).

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