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The functional variable method for finding exact solutions of some nonlinear time-fractional differential equations

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Abstract

In this paper, we implemented the functional variable method and the modified Riemann–Liouville derivative for the exact solitary wave solutions and periodic wave solutions of the time-fractional Klein–Gordon equation, and the time-fractional Hirota–Satsuma coupled KdV system. This method is extremely simple but effective for handling nonlinear time-fractional differential equations.

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Authors and Affiliations

  1. College of Mathematics and Statistics, Nanjing University of Information Science and Technology, Nanjing, 210044, China

    WENJUN LIU & KEWANG CHEN

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  1. WENJUN LIU
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  2. KEWANG CHEN
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Correspondence to WENJUN LIU.

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LIU, W., CHEN, K. The functional variable method for finding exact solutions of some nonlinear time-fractional differential equations. Pramana - J Phys 81, 377–384 (2013). https://doi.org/10.1007/s12043-013-0583-7

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  • DOI: https://doi.org/10.1007/s12043-013-0583-7

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