Soliton Solutions and Bilinear B/icklund Transformation for Generalized Nonlinear Schr6dinger Equation with Radial Symmetry

• 来源期刊: 理论物理通讯(英文版)
• 学科: 物理学
• 关键词: 双线性方法 径向对称 孤子解 非线性方程 广义 非线性薛定谔方程 双线性形式 符号计算
• 年，卷（期）: 2010,（10）
• 页码范围: 635-640
• 页数: 6页
• 分类号: O411.1 O175.25
• 语种: 英文

摘要

Investigated in this paper is the generalized nonlinear Schrodinger equation with radial symmetry. With the help of symbolic computation, the one-, two-, and N-soliton solutions are obtained through the bilinear method. B~cklund transformation in the bilinear form is presented, through which a new solution is constructed. Graphically, we have found that the solitons are symmetric about x = O, while the soliton pulse width and amplitude will change along with the distance and time during the propagation.