Localized Spatial Soliton Excitations Equation with Variable Nonlinearity in （2 ＋1）-Dimensional Nonlinear SchrSdinger and an External Potential

• 作者: HUANG Ting-Wen Milivoj R. Belic 钟卫平
• 来源期刊: 理论物理通讯：英文版
• 学科: 工学
• 关键词: 非线性薛定谔方程 孤子激发 局部空间 本地化 非线性系数 微分算子 系数和 二进制
• 年，卷（期）: 2012,（1）
• 页码范围: 127-132
• 页数: 6页
• 分类号: O562.4|TN929.11
• 语种: 英文

摘要

We report on the localized spatial soliton excitations in the multidimensional nonlinear Schrodinger equation with radially variable nonlinearity coefficient and an external potential. By using Hirota＇s binary differential operators, we determine a variety of external potentials and nonlinearity coefficients that can support nonlinear localized solutions of different but desired forms. For some specific external potentials and nonlinearity coefficients, we discuss features of the corresponding （2＋1）-dimensional multisolitonic solutions, including ring solitons, lump solitons, and soliton clusters.