A variety of soliton solutions for the fractional Wazwaz-Benjamin-Bona-Mahony equations

In the present paper, the new three-dimensional modified Benjamin-Bona-Mahony equations recently introduced are analyzed with the introduction of the spatial and temporal fractional order derivatives using conformable fractional derivative. Various solutions including hyperbolic and periodic functio...

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Bibliographic Details
Published in:Results in physics 2019-03, Vol.12, p.2234-2241
Main Authors: Seadawy, Aly R., Ali, Khalid K., Nuruddeen, R.I.
Format: Article
Language:English
Subjects:
35B35
35Q53
76B05
Conformable fractional derivative
Soliton solutions
Three-dimensional modified BBM equations
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Summary:In the present paper, the new three-dimensional modified Benjamin-Bona-Mahony equations recently introduced are analyzed with the introduction of the spatial and temporal fractional order derivatives using conformable fractional derivative. Various solutions including hyperbolic and periodic function solutions are constructed using simple ansatzs with the aid of the Wolfram Mathematica software. Some graphical representations of the solutions are depicted.
ISSN:2211-3797
2211-3797
DOI:10.1016/j.rinp.2019.02.064