Investigation of Exact Solutions of some Nonlinear Evolution Equations via an Analytical Approach

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Mathematical Sciences and Applications E-Notes
Volume:9 Issue:2
Investigation of Exact Solutions of some Nonlinear Evolution Equations via an Analytical Approach

Investigation of Exact Solutions of some Nonlinear Evolution Equations via an Analytical Approach

Pages : 64-73

View : 29 | Download : 19

Publication Date : 2021-06-01

Article Type : Research Paper

Abstract :This study investigates exact analytical solutions of some nonlinear partial differential equations arising in mathematical physics. To this reason, the Kudryashov-Sinelshchikov equation, the ZK-BBM equation and the Gardner equation have been considered. With the implementation of the trial solution algorithm, solitary wave, bright, dark and periodic exact traveling wave solutions of the considered equations have been attained. The solutions have been checked and graphs have been given via package programs to see the behavior of the waves.
Keywords : Nonlinear evolution equations, Travelling wave solutions, Analytical methods

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