非线性波动方程的双曲函数级数解法

Hyperbolic Function Series Method for Solving Nonlinear Wave Equations

采用双曲函数的幂级数表示一类非线性波动方程的特定显示行波解 .根据领头项分析 ,这种函数级数解可以被截断为只有几项的形式———截断解 ,由此进一步得到它的扭状孤波解、钟状孤波解 .

The power series of hyperbolic tangent has been used to present a specified traveling wave solution for a kind of nonlinear wave equation According to analysis of the leading terms,this function series solution can be terminated into a form containing only a few terms-terminating solution The kink soliton solution and bell soliton solution are obtained As a result, a series of well known equations in physics which can be viewed as special cases of the wave equation get their two kinds of soliton solutions accordingly