非线性强迫扰动Klein-Gordon方程的 孤波渐近解法
The Asymptotic Solving Method of Solitary Wave for the Nonlinear Forced Disturbed Klein-Gordon Equation

研究了一类非线性强迫扰动Klein-Gordon方程. 首先利用双曲正切待定系数法求得了典型的方程孤波解. 然后利用泛函变分迭代原理得到了强迫扰动 Klein-Gordon方程的一个近似解, 并论述了解的一致有效性. 所得到的近似解是一个解析式, 它还可对近似解 进行解析运算, 而使用简单的模拟方法所得到的近似解是达不到这种效果的.
A class of nonlinear forced disturbed Klein-Gordon equation is considered. Firstly, the solitary waves to typical equation is solved using the method of undetermined coefficients for hyperbolic tangent functions. Then approximate solutions of soliton to nonlinear forced disturbed equation are obtained using the functional variational principle. Finally, the uniform validity for the approximate solutions is proved. And the asymptotic solution has an analytic expression, so the authors can carry on analytic operation to it, these can not be obtained by using the simple simulate method.