Maluckov Aleksandra, Hadzievski Ljupco, Malomed Boris A
Faculty of Sciences and Mathematics, University of Nis, Nis, Serbia.
Phys Rev E Stat Nonlin Soft Matter Phys. 2008 Mar;77(3 Pt 2):036604. doi: 10.1103/PhysRevE.77.036604. Epub 2008 Mar 7.
Results of a comprehensive dynamical analysis are reported for several fundamental species of bright solitons in the one-dimensional lattice modeled by the discrete nonlinear Schrödinger equation with the cubic-quintic nonlinearity. Staggered solitons, which were not previously considered in this model, are studied numerically, through the computation of the eigenvalue spectrum for modes of small perturbations, and analytically, by means of the variational approximation. The numerical results confirm the analytical predictions. The mobility of discrete solitons is studied by means of direct simulations, and semianalytically, in the framework of the Peierls-Nabarro barrier, which is introduced in terms of two different concepts, free energy and mapping analysis. It is found that persistently moving localized modes may only be of the unstaggered type.
本文报道了在具有立方 - 五次非线性的离散非线性薛定谔方程所建模的一维晶格中，几种基本类型亮孤子的综合动力学分析结果。通过计算小扰动模式的本征值谱，对该模型中先前未考虑的交错孤子进行了数值研究，并借助变分近似进行了解析研究。数值结果证实了分析预测。通过直接模拟以及在佩尔斯 - 纳巴罗势垒框架下进行半解析研究，探讨了离散孤子的迁移率，佩尔斯 - 纳巴罗势垒是根据自由能和映射分析这两种不同概念引入的。结果发现，持续移动的局域模式可能仅为非交错类型。
