标题： 孤子稳定性与坍缩在具有偶极-偶极相互作用的离散非多项式薛定谔方程中的研究 显示英文标题

标题： Soliton stability and collapse in the discrete nonpolynomial Schrodinger equation with dipole-dipole interactions

摘要： 基本非交错明亮孤子在具有非多项式局域非线性的离散薛定谔方程中的稳定性和坍缩，研究了在长程偶极-偶极（DD）相互作用存在的情况下，该方程模拟了一个几乎一维的被深光学晶格捕获的玻色-爱因斯坦凝聚体。考虑了吸引和排斥接触和DD相互作用的情况。结果以模型参数空间中的稳定性/坍缩图的形式总结，这些图表明吸引的DD相互作用稳定了孤子并有助于防止坍缩。也简要考虑了离散孤子的移动性。 显示英文摘要

摘要： The stability and collapse of fundamental unstaggered bright solitons in the discrete Schrodinger equation with the nonpolynomial on-site nonlinearity, which models a nearly one-dimensional Bose-Einstein condensate trapped in a deep optical lattice, are studied in the presence of the long-range dipole-dipole (DD) interactions. The cases of both attractive and repulsive contact and DD interaction are considered. The results are summarized in the form of stability/collapse diagrams in the parametric space of the model, which demonstrate that the the attractive DD interactions stabilize the solitons and help to prevent the collapse. Mobility of the discrete solitons is briefly considered too.