1-Soliton and peaked solitary wave solutions of nonlinear longitudinal wave equation in magneto–electro–elastic circular rod

In this paper, 1-soliton and two kinds of peaked solitary wave solutions of nonlinear longitudinal wave equation in magneto–electro–elastic circular rod are presented for the first time. The soliton ansatz will be applied to give 1-soliton solution; then, peaked solitary wave solutions are obtained...

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Bibliographic Details
Published in:	Nonlinear dynamics Vol. 87; no. 4; pp. 2735 - 2739
Main Authors:	Yang, Shaojie, Xu, Tianzhou
Format:	Journal Article
Language:	English
Published:	Dordrecht Springer Netherlands 01-03-2017 Springer Nature B.V
Subjects:	Automotive Engineering Boundary conditions Circularity Classical Mechanics Control Dynamical Systems Engineering Graphs Longitudinal waves Mathematical analysis Mathematical models Mechanical Engineering Nonlinearity Original Paper Solitary waves Symmetry Vibration Wave equations Peaked solitary wave Magneto–electro–elastic circular rod Soliton ansatz Nonlinear longitudinal wave equation 1-soliton
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Summary:	In this paper, 1-soliton and two kinds of peaked solitary wave solutions of nonlinear longitudinal wave equation in magneto–electro–elastic circular rod are presented for the first time. The soliton ansatz will be applied to give 1-soliton solution; then, peaked solitary wave solutions are obtained by using direct integration with boundary condition and symmetry condition. At last, numeric graphs are provided for solitary wave solutions.
Bibliography:	ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23
ISSN:	0924-090X 1573-269X
DOI:	10.1007/s11071-016-3223-1