单模光纤中暗孤子的相互作用

Interaction between Two Dark Solitons In a Single-Mold Fibers

用最小作用量原理导出了非线性Schr dinger方程两个暗孤子间的相互作用,作为孤子间距Δ和初位相差θ的函数,它随Δ的增大而指数地衰减,当两个孤子间初位相差θ<π2时几2时相互吸引,θ=π2时相互排斥,θ>π乎不存在相互作用;数值计算与解析结果相符,也验证了与已有理论的有效性一致性.

The interaction between two dark solitons of nonlinear Schrdinger equation is derived using the least action principle approach. The interaction as a function of the solitons separation Δ and their initial relative phase θ shows that the interaction decreased exponentially as Δ raise, and that two solitons repulse with each other when θ>π2, there is almost no interaction when θ=π2, and attract with each other when θ>π2. The action, between two dark solitons are simulated by using the method of numerical analysis, from that we obtained some helpful conclusion.