AIMS Mathematics (May 2020)

An application of improved Bernoulli sub-equation function method to the nonlinear conformable time-fractional SRLW equation

  • Volkan ALA,
  • Ulviye DEMİRBİLEK,
  • Khanlar R. MAMEDOV

DOI
https://doi.org/10.3934/math.2020243
Journal volume & issue
Vol. 5, no. 4
pp. 3751 – 3761

Abstract

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The nonlinear conformable time-fractional Symmetric Regularized Long Wave (SRLW) equation plays an important role in physics. This equation is an interesting model to describe ion-acoustic and space change waves with weak nonlinearity. In this paper, we solve the SRLW equation via the Improved Bernoulli Sub-Equation Function Method (IBSEFM). New exact solutions are constructed and by the aid of software mathematics programme, 2D and 3D graphs of the solutions according to the parameters are plotted. The results show that IBSEFM is a powerful mathematical tool to solve nonlinear conformable time-fractional equations arising in mathematical physics.

Keywords