摘要
应用推广的tanh函数方法对被介质包围的非线性弹性杆波动方程进行了求解.得到了该方程的精确孤波解,对部分结果通过数值模拟得到了解的图像.本文获得的结果完善了相关文献已有的研究成果.从求解过程可以看出,推广的tanh函数方法是一种简便有效的方法,可用于求解其它非线性方程或方程组.
The wave equation of nonlinear elastic rod embedded in a medium is solved by the extended tanh-function method.The exact solitary wave solution of the equation is obtained.The graphs of some solutions are given through numerical simulation.The results show that the present findings enrich the existing research results in the related literature.The extended tanh-function method is shown to be simple,effective and can be applied for many other nonlinear equations.
作者
郭鹏
武祥
王良璧
GUO Peng;WU Xiang;WANG Liangbi(School of Materials Science and Engineering,Lanzhou Jiaotong University,Lanzhou 730070,Gansu,China;School of Mechatronic Engineering,Lanzhou Jiaotong University,Lanzhou 730070,Gansu,China;Key Laboratory of Railway Vehicle Thermal Engineering,Ministry of Education,Lanzhou Jiaotong University,Lanzhou 730070,Gansu,China;School of Mechanical Engineering,Tianjin University,Tianjin 300350,China)
出处
《力学季刊》
CAS
CSCD
北大核心
2023年第3期731-738,共8页
Chinese Quarterly of Mechanics
基金
国家自然科学基金(51776093,52066009)
甘肃省高等学校产业支撑引导项目(2019C-06)
甘肃省重大科技专项资助项目(21ZD4GA027)。
