高级搜索

(2+1)维非线性薛定谔方程的环孤子，dromion,呼吸子和瞬子

, 

downloadPDF

上一篇

下一篇

阮航宇, 陈一新. 2001: (2+1)维非线性薛定谔方程的环孤子，dromion,呼吸子和瞬子, 物理学报, 50(4): 586-592. doi: 10.3321/j.issn:1000-3290.2001.04.002
引用本文: 阮航宇, 陈一新. 2001: (2+1)维非线性薛定谔方程的环孤子，dromion,呼吸子和瞬子, 物理学报, 50(4): 586-592. doi: 10.3321/j.issn:1000-3290.2001.04.002
shu
RUAN Hang-Yu, CHEN YI-XIN. 2001: RING SOLITONS, DROMIONS, BREATHERS AND INSTANTONS OF THE NLS EQUATION, Acta Physica Sinica, 50(4): 586-592. doi: 10.3321/j.issn:1000-3290.2001.04.002
Citation: RUAN Hang-Yu, CHEN YI-XIN. 2001: RING SOLITONS, DROMIONS, BREATHERS AND INSTANTONS OF THE NLS EQUATION, Acta Physica Sinica, 50(4): 586-592. doi: 10.3321/j.issn:1000-3290.2001.04.002
shu

(2+1)维非线性薛定谔方程的环孤子，dromion,呼吸子和瞬子

  • 宁波大学物理系,；浙江大学近代物理中心,

  • 浙江大学近代物理中心,

RING SOLITONS, DROMIONS, BREATHERS AND INSTANTONS OF THE NLS EQUATION

  • 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.呼吸子在幅度和形状上都进行了呼吸.
    Abstract: We Study the abundant localized coherent structures of the (2+1)-dimensional nonlinear Schrdinger (NLS) equation which was derived from the fluid dynamics and plasma physics. Using a Bcklund 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.
  • 加载中
  • 加载中
计量
  • 文章访问数:  960
  • HTML全文浏览数:  166
  • PDF下载数:  111
  • 施引文献:  0
出版历程
  • 刊出日期:  2001-04-30

(2+1)维非线性薛定谔方程的环孤子，dromion,呼吸子和瞬子

  • 宁波大学物理系,；浙江大学近代物理中心,
  • 浙江大学近代物理中心,

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.呼吸子在幅度和形状上都进行了呼吸.

English Abstract

    全文HTML

参考文献 (0)

目录

/

返回文章
返回