非线性弦振动方程的精确解

The exact solutions to the equation of nonlinear vibrating string

利用双曲函数法，找到了非线性弦振动方程的一类扭状精确孤立波解．在此基础上又对双曲函数法的思想进行了推广，从而获得了更多的精确解．这种方法也适用于求解其他非线性发展方程．

With hyperbola function method, a class of exact kink solitary wave solutions to the equation of nonlinear vibrating string are obtained. Moreover, the thought of hyperbola function method is extended so that more exact solutions are successfully derived. It indicates that the method is also suitable for solving other nonlinear evolution equations.