非线性弦振动方程的新类孤子解

New Soliton-like Solutions for the Equation of Nonlinear Vibrating String

利用改进的双曲函数法,研究了非线性弦振动方程,得到了若干其它方法不曾给出的多种新形式的类孤子解。这种方法也同样适用于求解其它非线性波动方程。

With the further improved hyperbolic functions method, the new exact soliton solutions for the equation of nonlinear vibrating string are obtained, which include kink soliton solution and new soliton -like solutions. It indicates that the method is also suitable for solving other nonlinear evolution equations.