摘要
利用最小作用量原理导出非线性 Schrodinger方程两个相干暗孤子之间的相互作用 .它作为孤子间距 Δ和初位相差 θ的函数 ,随 Δ的增大而指数地衰减 ,当两个孤子之间初位相差 θ<π/2时相互排斥 ,θ=π/2时几乎不存在相互作用 .θ>π/2时相互吸引 .
The interaction between two coherent dark solitons of nonlinear Schrodinger equation is derived using the least action principle aproach.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 <π/2,and attract with each other when θ >π/2 ,there is almost no interaction when θ =π/2.The influence of high order dispersion effect on the interaction is also studied.
出处
《内蒙古大学学报（自然科学版）》
CAS
CSCD
北大核心
2001年第2期142-146,共5页
Journal of Inner Mongolia University：Natural Science Edition
基金
国家自然科学基金资助项目
