二维非线性Klein-Gordon方程的摄动分析

Perturbation analysis for two-dimensional nonlinearKlein-Gordon equation

利用多重尺度分析法,对二维非线性Klein-Gordon方程作了摄动分析,推导出了零阶近似解的振幅NLS方程,并对解的调制稳定性进行了分析,求出了该问题的包络孤立子解.

By using multiple scale method,the two-dimensional nonlinear Klein-Gordon equation is discussed.In zero order,a NLS equation for the amplitude is obtained.By analysing the modulation stability of the solution,the envelop solitary waves solution is got for the NLS equation.