| Exact solution and exotic coherent solition structures of the （2＋1）—dimensional generalized nonlinear Schroedinger equation |
| |
| 引用本文： | 郑春龙,张解放,盛正茂,黄文华. Exact solution and exotic coherent solition structures of the （2＋1）—dimensional generalized nonlinear Schroedinger equation[J]. 中国物理, 2003, 12(1): 11-16 |
| |
| 作者姓名： | 郑春龙 张解放 盛正茂 黄文华 |
| |
| 作者单位： | Department of Physics, Lishui Normal College, Lishui 323000, China;Institute of Nonlinear Physics, Zhejiang Normal University,Jinhua 321004, China;Department of Physics, Zhejiang University, Hangzhou 310027, China;Department of Physics, Yichun University, Yichun 336000, China |
| |
| 基金项目： | Project supported by the Foundation of "151 Talent Engineering" of Zhejiang Province, China, and the Natural Science Foundation of Zhejiang Province, China (Grant No 100039) |
| |
| 摘 要： | In this paper,a variable separation approach is used to obtain localized coherent structures of the (2 1)-dimensional generalized nonlinear Schroedinger equation:Iφt-(α-β）φxx (α β）φyy-2λφ[（α β）（∫-∞^x|φ|y^2ydx u1(y,t))-(α-β）(∫-∞^y|φ|x^2dy u2(x,t))]=0,By applying a special Baecklund transformation and introducing arbitrary functions of the seed solutions,the abundance of the localized structures of this model are derived.By selecting the arbitrary function appropriately,some special types of localized excitations such as dromions,dromion lattice,breathers and istantons are constructed.
|
| 关 键 词： | 非线性薛定格方程 相干孤子结构 严格解 |
| 收稿时间： | 2002-06-02 |
Exact solution and exotic coherent soliton structures of the (2+1)-dimensional generalized nonlinear Schrodinger equation |
| |
| Zheng Chun-Long,Zhang Jie-Fang,Sheng Zheng-Mao and Huang Wen-Hua. Exact solution and exotic coherent soliton structures of the (2+1)-dimensional generalized nonlinear Schrodinger equation[J]. Chinese Physics, 2003, 12(1): 11-16 |
| |
| Authors: | Zheng Chun-Long Zhang Jie-Fang Sheng Zheng-Mao Huang Wen-Hua |
| |
| Affiliation: | Department of Physics, Lishui Normal College, Lishui 323000, China; Department of Physics, Yichun University, Yichun 336000, China; Department of Physics, Zhejiang University, Hangzhou 310027, China; Institute of Nonlinear Physics, Zhejiang Normal University,Jinhua 321004, China |
| |
| Abstract: | In this paper, a variable separation approach is used to obtainlocalized coherent structures of the (2+1)-dimensional generalized nonlinear Schrodinger equation:$ivarphi_t-(alpha beta)varphi_{xx}+(alpha+beta)varphi_{yy}-2lambda varphibigg[(alpha+beta)bigg(dint_{-infty}^x|varphi|_{y}^2dd x+u_1(y,t)bigg) $$-(alpha-beta)bigg(dint_{-infty}^y|varphi|_{x}^2ddy+u_2(x,t)bigg)bigg]=0.$By applying a special B"{a}cklund 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. |
| |
| Keywords: | variable separation approach, generalized nonlinear Schr" odinger equation, coherent structure |
| 本文献已被 维普 等数据库收录！ |
| 点击此处可从《中国物理》浏览原始摘要信息 |
|
点击此处可从《中国物理》下载免费的PDF全文 |
|
