New Solutions of Elastic Waves in an Elastic Rod under Finite Deformation-Reference-Cited by-同舟云学术

New Solutions of Elastic Waves in an Elastic Rod under Finite Deformation

Published:2014 Issue: Volume:2014 Page:1-7
ISSN:1110-757X
Container-title:Journal of Applied Mathematics
language:en
Short-container-title:Journal of Applied Mathematics

Author:

Guo Peng¹²³,Wu Xiang²³,Wang Liangbi²³

Affiliation:

1. School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, China

2. School of Mechatronic Engineering, Lanzhou Jiaotong University, Lanzhou 730070, China

3. Key Laboratory of Railway Vehicle Thermal Engineering, Lanzhou Jiaotong University, Ministry of Education, Lanzhou 730070, China

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.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

Applied Mathematics

Link

http://downloads.hindawi.com/journals/jam/2014/495125.pdf

Reference15 articles.

1. Method for Solving the Korteweg-deVries Equation

2. Soliton solutions of a coupled Korteweg-de Vries equation

3. An automated tanh-function method for finding solitary wave solutions to non-linear evolution equations

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