Exact solution and exotic coherent soliton structures of the (2+1)-dimensional generalized nonlinear Schrodinger equation

• 来源期刊: 中国物理（英文版）
• 学科: 物理学
• 关键词: variable separation approach generalized nonlinear Schrodinger equation coherent structure
• 年，卷（期）: 2003,（1）
• 页码范围: 11-16
• 页数: 6页
• 分类号: O4
• 语种: 英文

摘要

In this paper, a variable separation approach is used to obtain localized coherent structures of the (2 + 1)-dimensional generalized nonlinear Schrddinger equation: iψt-(α-β)ψxx+(α+β)ψgg-2λψ[(α+β)(∫x-∞ |ψ|2ydx+u1(y,t))-(α- β)(∫y- ∞|ψ|2xdy+u2(x,t))]=0. By applying a special Backlund transformation and introducing arbitrary functions of the seed solutions, the abundance of the localized structures of this model are derived. By selecting the arbitrary functions appropriately, some special types of localized excitations such as dromions, dromion lattice, breathers and instantons are constructed.