Exact spatiotemporal wave and soliton solutions to the generalized (3+1)-dimensional Schrodinger equation for both normal and anomalous dispersion

被引:40
作者
Petrovic, Nikola Z. [1 ]
Belic, Milivoj [1 ]
Zhong, Wei-Ping [2 ]
Xie, Rui-Hua [3 ]
Chen, Goong [3 ]
机构
[1] Texas A&M Univ Qatar, Dept Phys, Doha, Qatar
[2] Shunde Coll, Dept Elect Engn, Shunde 528300, Peoples R China
[3] Texas A&M Univ, Dept Math, College Stn, TX 77843 USA
基金
中国国家自然科学基金; 新加坡国家研究基金会;
关键词
Dispersion (waves) - Nonlinear equations;
D O I
10.1364/OL.34.001609
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
We obtain exact extended traveling-wave and spatiotemporal soliton solutions to the generalized (3 + 1)-dimensional nonlinear-Schrodinger equations for both the normal and the anomalous dispersion. (C) 2009 Optical Society of America
引用
收藏
页码:1609 / 1611
页数:3
相关论文
共 14 条
[1]  
Akhmediev N., 1997, SOLITONS NONLINEAR P
[2]   Analytical light bullet solutions to the generalized (3+1)-dimensional nonlinear schrodinger equation [J].
Belic, Milivoj ;
Petrovic, Nikola ;
Zhong, Wei-Ping ;
Xie, Rui-Hua ;
Chen, Goong .
PHYSICAL REVIEW LETTERS, 2008, 101 (12)
[3]  
Hasegava A., 2003, Optical Solitons in Fibers
[4]  
Kivshar YS., 2003, OPTICAL SOLITONS FIB
[5]   Exact solutions of the generalized nonlinear Schrodinger equation with distributed coefficients [J].
Kruglov, VI ;
Peacock, AC ;
Harvey, JD .
PHYSICAL REVIEW E, 2005, 71 (05)
[6]   THE EFFECTS OF NORMAL DISPERSION ON COLLAPSE EVENTS [J].
LUTHER, GG ;
NEWELL, AC ;
MOLONEY, JV .
PHYSICA D, 1994, 74 (1-2) :59-73
[7]   Spatiotemporal optical solitons [J].
Malomed, BA ;
Mihalache, D ;
Wise, F ;
Torner, L .
JOURNAL OF OPTICS B-QUANTUM AND SEMICLASSICAL OPTICS, 2005, 7 (05) :R53-R72
[8]  
MALOMED BA, 2006, SOLITON MANAGEMENT O
[9]  
Sulem C., 1999, The nonlinear Schrodinger equation. Self-focusing and wave collapse
[10]   New explicit solitary wave solutions and periodic wave solutions for Whitham-Broer-Kaup equation in shallow water [J].
Yan, ZY ;
Zhang, HQ .
PHYSICS LETTERS A, 2001, 285 (5-6) :355-362