光纤暗孤子的相互作用

The Interaction between Two Dark Solitons

利用最小作用量原理，从非线性Ｓｃｈｒｄｉｎｇｅｒ方程，导出两个暗孤子之间的相互作用．它作为孤子间距△和初位相差θ的函数，随△的增大而指数地减小，当两个孤子之间初位相差θ＜π／２时相互排斥。

The interaction between two dark solitons is derived from nonlinear Schrodinger equation by the least action principle approach.The interaction is a function of the soliton′s separation △ and their initial phase difference θ. The result shows that the interaction decreases exponentially as △ raises,and that two solitons repulse with each other when θ <π/2,and there is almost no interaction when θ =π/2.