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首页> 外文期刊>Physica Scripta: An International Journal for Experimental and Theoretical Physics >Weak nonlinear matter waves in a trapped two-component Bose-Einstein condensates
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Weak nonlinear matter waves in a trapped two-component Bose-Einstein condensates

机译:捕获的两组分玻色-爱因斯坦凝聚物中的弱非线性物质波

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摘要

The dynamics of the weak nonlinear matter solitary waves in two-component Bose-Einstein condensates (BEC) with cigar-shaped external potential are investigated analytically by a perturbation method. In the small amplitude limit, the two-components can be decoupled and the dynamics of solitary waves are governed by a variable-coefficient Korteweg-de Vries (KdV) equation. The reduction to the KdV equation may be useful to understand the dynamics of nonlinear matter waves in two-component BEC. The analytical expressions for the evolution of soliton, emitted radiation profiles and soliton oscillation frequency are also obtained.
机译:用微扰方法分析了具有雪茄形外部势的两组分玻色-爱因斯坦凝聚物(BEC)中弱非线性物质孤立波的动力学。在较小的幅度限制下,两个分量可以解耦,并且孤波的动力学由变系数Korteweg-de Vries(KdV)方程控制。 KdV方程的简化对于理解两组分BEC中非线性物质波的动力学可能很有用。还获得了孤子演化,发射辐射分布和孤子振荡频率的解析表达式。

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