Partial Differential Equations in Applied Mathematics (Jun 2023)

Variable coefficient exact solution of Sharma–Tasso–Olver model by enhanced modified simple equation method

  • Md. Abu Naim Sheikh,
  • Mohammad Abu Taher,
  • Mohammad Mobarak Hossain,
  • Sushika Akter,
  • Harun-Or-Roshid

Journal volume & issue
Vol. 7
p. 100527

Abstract

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This article presents variable coefficients solution in the form of soliton, bell shape solution, periodic solution, parabolic periodic soliton of Sharma–Tasso–Olver equation which fundamentally apply to the fission and fusion mechanism of particle in nuclear physics. Solitary wave takes the leading position in electromagnetic field, atomic quantum theory, theoretical relativistic relation etc. The enhanced modified simple equation (EMSE) method is used to generalize solitary wave solutions for Sharma–Tasso–Olver (STO) equation. The computational software maple 18 is used to derive the corresponding results in the 3D plot, density plot and counter plots for the different types of time function used in EMSE scheme.

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