非线性弦振动方程的新精确解

The New Exact Solutions to the Equation of Nonlinear Vibrating String

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。

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.