Explicit Exact Solutions to the Wave Equation for Nonlinear Elastic Rods

GUO Peng; TANG Rongan; SUN Xiaowei; HONG Xueren; SHI Yuren

doi:10.21656/1000-0887.420245

Volume 43 Issue 8

Aug. 2022

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GUO Peng, TANG Rongan, SUN Xiaowei, HONG Xueren, SHI Yuren. Explicit Exact Solutions to the Wave Equation for Nonlinear Elastic Rods[J]. Applied Mathematics and Mechanics, 2022, 43(8): 869-876. doi: 10.21656/1000-0887.420245

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Explicit Exact Solutions to the Wave Equation for Nonlinear Elastic Rods

doi: 10.21656/1000-0887.420245

GUO Peng^{1, 2, 3
,
,},
TANG Rongan⁴,
SUN Xiaowei²,
HONG Xueren⁴,
SHI Yuren⁴

1.
School of Materials Science and Engineering, Lanzhou Jiaotong University, Lanzhou 730070, P.R.China
2.
School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, P.R.China
3.
Key Laboratory of Railway Vehicle Thermal Engineering, Ministry of Education, Lanzhou Jiaotong University, Lanzhou 730070, P.R.China
4.
College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, P.R.China

Received Date: 2021-08-17
Rev Recd Date: 2021-11-25

Available Online: 2022-07-02

Publish Date: 2022-08-01

Abstract

Abstract

The sine-cosine method was applied to the wave equation for nonlinear elastic rods, and some new periodic and solitary solutions to the equation were obtained (with material constant n other than 1). The graphs of some solutions were given through the math software. The results are helpful to further research on existence of solitary waves in the nonlinear elastic rods.
- sine-cosine method,
- nonlinear elastic rod,
- exact solution,
- solitary wave

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References(36)

References

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