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

Volkan ALA; Ulviye DEMİRBİLEK; Khanlar R. MAMEDOV; Volkan ALA; Ulviye DEMİRBİLEK; Khanlar R. MAMEDOV

doi:10.3934/math.2020243

AIMS Mathematics

2020, Volume 5, Issue 4: 3751-3761. doi: 10.3934/math.2020243

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Research article

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

Department of Mathematics, Science and Letters Faculty, Mersin University, 33343, Mersin, Turkey

Received: 31 December 2020 Accepted: 09 April 2020 Published: 20 April 2020
MSC : 35C08, 34K20, 32W50

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.
- conformable time-fractional SRLW equation,
- IBSEFM
Citation: Volkan ALA, Ulviye DEMİRBİLEK, Khanlar R. MAMEDOV. An application of improved Bernoulli sub-equation function method to the nonlinear conformable time-fractional SRLW equation[J]. AIMS Mathematics, 2020, 5(4): 3751-3761. doi: 10.3934/math.2020243

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Abstract

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.

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