摘要
利用分离变量法 ,研究了 (2 +1)维非线性薛定谔 (NLS)方程的局域结构 .由于在B cklund变换和变量分离步骤中引入了作为种子解的任意函数 ,得到了NLS方程丰富的局域结构 .合适地选择任意函数 ,局域解可以是dromion ,环孤子 ,呼吸子和瞬子 .dromion解不仅可以存在于直线孤子的交叉点上 ,也可以存在于曲线孤子的最近邻点上 .
We Study the abundant localized coherent structures of the (2 + 1)-dimensional nonlinear Schrodinger (NLS) equation which was derived from the fluid dynamics and plasma physics. Using a Backlund transformation and the variable separation approach, we find there exist much more abundant localized structures for the (2 + I) -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.
出处
《物理学报》
SCIE
EI
CAS
CSCD
北大核心
2001年第4期586-592,共7页
Acta Physica Sinica
基金
国家自然科学基金! (批准号 :19875 0 41)
浙江省自然科学基金! (批准号 :10 0 0 3 3 )
教育部中青年骨干教师专项 !(批准号 :C0 0
