物理学报2001，Vol.50Issue(4)：586-592,7.
(2+1)维非线性薛定谔方程的环孤子，dromion,呼吸子和瞬子
RING SOLITONS, DROMIONS, BREATHERS AND INSTANTONS OF THE NLS EQUATION
摘要
Abstract
We Study the abundant localized coherent structures of the (2+1)-dimensional nonlinear Schrdinger (NLS) equation which was derived from the fluid dynamics and plasma physics. Using a Bcklund transformation and the variable separation approach, we find there exist much more abundant localized structures for the (2+1) -dimensional NLS equation. The abundance of the localized structures of the model is introduced by the entrance of an arbitrary function of the seed solution. Some special types of the dromion solutions, breathers, instantons and ring type of solitons are discussed by selecting the arbitrary functions appropriately. The dromion solutions can be driven by some sets of straight-line and curved line ghost solitons. The dromion solutions may be located not only at the cross points of the lines, but also at the closed points of the curves. The breathers may breath both in amplitudes and in shapes.关键词
非线性薛定谔方程/分离变量法/孤子结构分类
数理科学引用本文复制引用
阮航宇,陈一新..(2+1)维非线性薛定谔方程的环孤子，dromion,呼吸子和瞬子[J].物理学报,2001,50(4):586-592,7.基金项目
国家自然科学基金(批准号：19875041)，浙江省自然科学基金(批准号：100033)，教育部中青年骨干教师专项(批准号：C0001)资助的课题. （批准号：19875041）
