研究了一个广义非线性扰动Klein-Gordon方程.利用同伦映射方法,首先构造了相应的同伦映射;然后选取了适当的初始近似;并计算各阶相应孤子近似解.同时还考虑了一个微扰方程.
A generalized nonlinear disturbed Klein-Gordon equation was considered.By using the homotopic mapping method,firstly,the corresponding homotopic mapping was constructed.Then the suitable initial approximation was selected,and the arbitrary order approximate solution of the soliton was calculated.At one time,a weakly disturbed equation was studied.