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Optical and Quantum Electronics
Erschienen in: Optical and Quantum Electronics 4/2017

01.04.2017

Exact solutions of nonlinear conformable time-fractional Boussinesq equations using the \(\exp \left( { - \phi \left( \varepsilon \right)} \right)\)-expansion method

verfasst von: K. Hosseini, A. Bekir, R. Ansari

Erschienen in: Optical and Quantum Electronics | Ausgabe 4/2017

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Abstract

Nonlinear fractional Boussinesq equations are considered as an important class of fractional differential equations in mathematical physics. In this article, a newly developed method called the \(\exp \left( { - \phi \left( \varepsilon \right)} \right)\)-expansion method is utilized to study the nonlinear Boussinesq equations with the conformable time-fractional derivative. Different forms of solutions, including the hyperbolic, trigonometric and rational function solutions are formally extracted. The method suggests a useful and efficient technique to look for the exact solutions of a wide range of nonlinear fractional differential equations.
Vorheriger Artikel Solitary wave solutions of some nonlinear PDEs arising in electronics
Nächster Artikel Energy conversion in 7-(Diethylamino)coumarin doped PMMA fluorescent fibre

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Metadaten
Titel
Exact solutions of nonlinear conformable time-fractional Boussinesq equations using the -expansion method
verfasst von
K. Hosseini
A. Bekir
R. Ansari
Publikationsdatum
01.04.2017
Verlag
Springer US
Erschienen in
Optical and Quantum Electronics / Ausgabe 4/2017
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-017-0968-9

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