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非线性弦振动方程的新精确解
The New Exact Solutions to the Equation of Nonlinear Vibrating String
【摘要】 利用改进的tanh函数法,将非线性弦振动方程化为一阶非线性常微分方程组。通过求解这个非线性常微分方程组,获得了非线性弦振动方程的新精确类孤子解、三角函数解、复数解。这种方法也适用于求解其他非线性发展方程。
【Abstract】 With the improved tanh-function method, the equations of nonlinear vibrating string are reduced to first-order nonlinear ordinary differential equations. By solving the equations a class of exact solitary wave solitary solutions, triangle function solutions and complex solutions are obtained. It indicates that the method is also suitable for solving other nonlinear evolution equations.
【关键词】 改进的tanh函数方法;
类孤子解;
三角函数解;
复数解;
【Key words】 improved tanh-function method; soliton-like solutions; complex solutions;
【Key words】 improved tanh-function method; soliton-like solutions; complex solutions;
- 【文献出处】 丽水学院学报 , 编辑部邮箱 ,2004年05期
- 【分类号】O302
- 【被引频次】1
- 【下载频次】149