New Exact Solutions of Conformable Time-Fractional Bad and Good Modified Boussinesq Equations

Year 2021, Issue: 37, 8 - 25, 31.12.2021

Zafer Öztürk , Sezer Sorgun , Halis Bilgil , Ümmügülsüm Erdinç

https://doi.org/10.53570/jnt.1018383

Cited By: 2

Abstract

The new exact solutions of the conformable time-fractional Bad and Good modified Boussinesq equations are obtained using the Exp-function method, which is different from previous literature works. These equations play a significant role in mathematical physics, engineering sciences and applied mathematics. Plentiful exact solutions with arbitrary parameters are effectively obtained by the method. The obtained solutions are shown graphically. It is shown that the Exp-function method provides a simpler but more effective mathematical tool for constructing exact solutions of non-linear evolution equations.

Keywords

Conformable time fractional Bad and Good modified Boussinesq equations, conformable fractional derivative, exact solution, Exp-function method

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