【摘要】 将耦合Riccati方程的解作为一种函数变换,并且应用这种函数变换求解非线性Klein-Gordon方程,从而可以获得许多包括孤波解在内的新的精确周期解.这种方法还可以用于求解其他非线性波动方程.更多还原

【Abstract】 In the paper,a transformation is introduced on basis of the projective Riccati equations,and it is applied as an intermediate in expansion method to solve nonlinear Klein-Gordon equation.Many kinds of travelling wave solutions including solitary wave solutions are obtained,in which some are found for the first time.Of course,this transformation used in the paper can also be applied to other nonlinear wave equations.更多还原