陷阱势下玻色-爱因斯坦凝聚体中的一维五次Gross-Pitaevskii方程
One-dimension cubic-quintic Gross-Pitaevskii equation in Bose-Einstein condensates in a trap potential
摘要：
本文用新的广义变分法直接求解了五次自聚焦非线性方程和一维五次GrosPitaeskii方程。研究了在玻色-爱因斯坦凝聚体（BEC）中产生五次非线性项的三维横向运动对一维纯雪茄形模型的影响.此外，我们提供了一个封闭的解析表达式的评估时产生的误差，只考虑立方非线性GPE的描述一维BEC。
英文摘要：
By means of new general variational method we report a direct solution for the quintic self-focusing nonlinearity and cubic-quintic 1D Gross Pitaeskii equation (GPE) in a harmonic confined potential. We explore the influence of the 3D transversal motion generating a quintic nonlinear term on the ideal 1D pure cigar-like shape model for the attractive and repulsive atom-atom interaction in Bose Einstein condensates (BEC). Also, we offer a closed analytical expression for the evaluation of the error produced when solely the cubic nonlinear GPE is considered for the description of 1D BEC.
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