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2014 New Solutions of Elastic Waves in an Elastic Rod under Finite Deformation
Peng Guo, Xiang Wu, Liangbi Wang
J. Appl. Math. 2014: 1-7 (2014). DOI: 10.1155/2014/495125

Abstract

The nonlinear wave equation of an elastic rod under finite deformation is solved by the extended mapping method. Abundant new exact traveling wave solutions for this equation are obtained, which contain trigonometric function solutions, solitary wave solutions, Jacobian elliptic function solutions, and Weierstrass elliptic function solutions. The method can be used in further works to establish more entirely new solutions for other kinds of nonlinear evolution equations arising in physics.

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Peng Guo. Xiang Wu. Liangbi Wang. "New Solutions of Elastic Waves in an Elastic Rod under Finite Deformation." J. Appl. Math. 2014 1 - 7, 2014. https://doi.org/10.1155/2014/495125

Information

Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131643
MathSciNet: MR3259210
Digital Object Identifier: 10.1155/2014/495125

Rights: Copyright © 2014 Hindawi

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