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1. Traveling-wave solutions of the Klein–Gordon equations with M-fractional derivative.

Author

Houwe, Alphonse, Rezazadeh, Hadi, Bekir, Ahmet, and Doka, Serge Y

Subjects
*TRIGONOMETRIC functions, *HYPERBOLIC functions, *SINE-Gordon equation, *KLEIN-Gordon equation, *SCHRODINGER equation
Abstract

Based on two algorithm integrations, such as the exp (- Φ (ξ)) -expansion method and the hyperbolic function method, we build dark, bright and trigonometric function solution to the Klein–Gordon equations with M-fractional derivative of order α . By adopting the travelling-wave transformation, the constraint condition between the model coefficients and the travelling-wave frequency coefficient for the existence of soliton solutions is also obtained. Moreover, miscellaneous soliton solutions obtained is depicted in 3D and 2D. [ABSTRACT FROM AUTHOR]

Published
2022
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