【摘要】 研究了周期性含时微扰对KdV(KortewegdeVries)孤子的影响.将微扰项展为时间变量的傅里叶级数,发现其常数项是导致长期项的根源.在一阶近似下,消除长期项,求出了孤子参数(高度、宽度和速度)随时间的缓慢变化.傅氏级数中的其他项决定了微扰对孤子波形的一阶修正.更多还原

【Abstract】 The effects of the periodical time-dependent perturbation on a KdV(Korteweg de Vries) soliton are studied.Expanding the perturbation term into a Fourier series,we find that the time-independent term will lead to the secular terms.In this paper,the soliton parameters(height,width and velocity) are derived by eliminating the secular terms,and the corrections on a soliton caused by perturbation are obtained with the help of other terms in Fourier series in the first-order approximation.更多还原