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Exact Analytical Solutions of Nonlinear Fractional Liouville Equation by Extended Complex Method

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  • Mehvish Fazal Ur Rehman
  • Yongyi Gu
  • Wenjun Yuan

Abstract

The extended complex method is investigated for exact analytical solutions of nonlinear fractional Liouville equation. Based on the work of Yuan et al., the new rational, periodic, and elliptic function solutions have been obtained. By adjusting the arbitrary values to the constants in the constructed solutions, it can describe the physical phenomena to the traveling wave solutions, since traveling wave has significant value in applied sciences and engineering. Our results indicate that the extended complex technique is direct and easily applicable to solve the nonlinear fractional partial differential equations (NLFPDEs).

Suggested Citation

  • Mehvish Fazal Ur Rehman & Yongyi Gu & Wenjun Yuan, 2020. "Exact Analytical Solutions of Nonlinear Fractional Liouville Equation by Extended Complex Method," Advances in Mathematical Physics, John Wiley & Sons, vol. 2020(1).
    • Handle: RePEc:wly:jnlamp:v:2020:y:2020:i:1:n:8815363
    DOI: 10.1155/2020/8815363
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