非线性弦振动方程的精确解  

The exact solutions to the equation of nonlinear vibrating string

作　　者：石玉仁[1] 洪学仁[1] 段文山[1] 赵金保[1] 吕克璞[1] 

机构地区：[1]西北师范大学物理与电子工程学院,甘肃兰州730070

出　　处：《西北师范大学学报（自然科学版）》2002年第2期51-53,共3页Journal of Northwest Normal University(Natural Science)

摘　　要：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.

关 键 词：非线性弦振动方程 双曲函数法 精确解 孤立波解 非线性发展方程 数学物理方法 

分 类 号：O322[理学—一般力学与力学基础] O241.82[理学—力学]