| 非线性弹性杆波动方程的显式精确解北大核心CSCD |
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| 引用本文： | 郭鹏,唐荣安,孙小伟,洪学仁,石玉仁.非线性弹性杆波动方程的显式精确解北大核心CSCD[J].应用数学和力学,2022,43(8):869-876. |
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| 作者姓名： | 郭鹏 唐荣安 孙小伟 洪学仁 石玉仁 |
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| 作者单位： | 1.兰州交通大学 材料科学与工程学院，兰州 730070 |
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| 基金项目： | 国家自然科学基金(11765017；12065022；12165018)；甘肃省重点人才项目( 2020RCXM100 ) |
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| 摘 要： | 应用sine-cosine方法对非线性弹性杆波动方程进行了求解,得到了该方程的一些新的周期波解和孤波解(材料常数n为不等于1的常数).对部分结果通过数学软件得到了解的图像,获得的结果有助于非线性弹性杆中孤波存在性问题的进一步研究.
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| 关 键 词： | sine-cosine方法 非线性弹性杆 精确解 孤波 |
| 收稿时间： | 2021-08-17 |
Explicit Exact Solutions to the Wave Equation for Nonlinear Elastic Rods |
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| Guo P.,Tang R.,Sun X.,Hong X.,Shi Y..Explicit Exact Solutions to the Wave Equation for Nonlinear Elastic Rods[J].Applied Mathematics and Mechanics,2022,43(8):869-876. |
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| Authors: | Guo P Tang R Sun X Hong X Shi Y |
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| Affiliation: | 1.School of Materials Science and Engineering, Lanzhou Jiaotong University, Lanzhou 730070, P.R.China2.School of Mathematics and Physics, Lanzhou Jiaotong University, Lanzhou 730070, P.R.China3.Key Laboratory of Railway Vehicle Thermal Engineering, Ministry of Education, Lanzhou Jiaotong University, Lanzhou 730070, P.R.China4.College of Physics and Electronic Engineering, Northwest Normal University, Lanzhou 730070, P.R.China |
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| 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. |
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| Keywords: | exact solution nonlinear elastic rod sine-cosine method solitary wave |
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