物理学报2011，Vol.60Issue(6)：373-378,6.
变系数非线性Schr(o)dinger方程的孤子解及其相互作用
Solitons of nonlinear Schr(o)dinger equation with variable-coefficients and interaction
摘要
Abstract
Search for exact solutions to the generalized nonlinear Schrodinger equation is one of the essential directions in studies of the nonlinear dynamics in optical soliton and Bose-Einstein condensates. Stable soliton modes are of great significance for the experimental realization and potential application. In this paper, based on the introduction of a similarity transformation, the variable-coefficient nonlinear Schrodinger equation is transformed into the nonlinear Schrodinger equation, and then the single soliton solution, two-soliton solution and soliton solution in continuous-wave background for the variable coefficient nonlinear Schrodinger equation are obtained by using the known solutions. Meanwhile, their image analysis and relative discussion are given by selecting the different parameters in detail.关键词
非线性Schr(o)dinger方程/相似变换/变系数/孤子解Key words
Nonlinear SchrSdinger equation/ similarity transformation/ variable-coefficients/ soliton solutions引用本文复制引用
钱存,王亮亮,张解放..变系数非线性Schr(o)dinger方程的孤子解及其相互作用[J].物理学报,2011,60(6):373-378,6.基金项目
国家自然科学基金(批准号:10672147,11072219)和浙江师范大学创新团队计划资助的课题. （批准号:10672147,11072219）
