AIMS Mathematics (Sep 2020)

Explicit solutions to the Sharma-Tasso-Olver equation

  • Mohammed Aly Abdou,
  • Loubna Ouahid,
  • Saud Owyed,
  • A. M. Abdel-Baset,
  • Mustafa Inc,
  • Mehmet Ali Akinlar,
  • Yu-Ming Chu

DOI
https://doi.org/10.3934/math.2020465
Journal volume & issue
Vol. 5, no. 6
pp. 7272 – 7284

Abstract

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We present new exact traveling wave solutions of generalized Sharma-Tasso-Olver (STO) with variable coefficients using three different methods, namely the extended F-expansion, the new sub-equations, and generalized Kudryashov expansion. We obtain new solutions with the form of solitons, triangular and rational functions. Computational results indicate that these methods are very useful and easily applicable for solving diverse types of differential equations in nonlinear science.

Keywords