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Optical and Quantum Electronics

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01.10.2018

Local M-derivative of order \(\alpha\) and the modified expansion function method applied to the longitudinal wave equation in a magneto electro-elastic circular rod

verfasst von: H. Yépez-Martínez, J. F. Gómez-Aguilar

Erschienen in: Optical and Quantum Electronics | Ausgabe 10/2018

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Abstract

The local modified \(\exp (-\Omega (\eta ))\)-expansion function method is proposed to construct analytical solutions of nonlinear local partial differential equations, involving local M-derivative of order \(\alpha\). The modified \(\exp (-\Omega (\eta ))\)-expansion function method is applied to obtain some solitary wave solutions to the longitudinal wave equation in a magneto electro-elastic circular rod. Some soliton solutions are constructed under some constraint conditions.

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Titel: Local M-derivative of order and the modified expansion function method applied to the longitudinal wave equation in a magneto electro-elastic circular rod
verfasst von: H. Yépez-Martínez
J. F. Gómez-Aguilar
Publikationsdatum: 01.10.2018
Verlag: Springer US
Erschienen in: Optical and Quantum Electronics / Ausgabe 10/2018
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI: https://doi.org/10.1007/s11082-018-1643-5

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