New types of solitary wave solutions for the higher order nonlinear Schrodinger equation

被引:231
作者
Li, ZH [1 ]
Li, L [1 ]
Tian, HP [1 ]
Zhou, GS [1 ]
机构
[1] Shanxi Univ, Dept Elect & Informat Technol, Taiyuan 030006, Shanxi, Peoples R China
关键词
D O I
10.1103/PhysRevLett.84.4096
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We present new types of solitary wave solutions for the higher order nonlinear Schrodinger (HNLS) equation describing propagation of femtosecond light pulses in an optical fiber under certain parametric conditions. Unlike the reported solitary wave solutions of the HNLS equation, the novel ones can describe bright and dark solitary wave properties in the same expressions and their amplitude may approach nonzero when the time variable approaches infinity. In addition, such solutions cannot exist in the nonlinear Schrodinger equation. Furthermore, we investigate the stability of these solitary waves under some initial pertubations by employing the numerical simulation methods.
引用
收藏
页码:4096 / 4099
页数:4
相关论文
共 22 条
[1]  
Agrawal G, 1989, Nonlinear Fiber Optics
[2]   EVOLUTION OF FEMTOSECOND PULSES IN SINGLE-MODE FIBERS HAVING HIGHER-ORDER NONLINEARITY AND DISPERSION [J].
BOURKOFF, E ;
ZHAO, W ;
JOSEPH, RI ;
CHRISTODOULIDES, DN .
OPTICS LETTERS, 1987, 12 (04) :272-274
[3]  
de Oliveria J.R., 1998, PHYS REV E, V57, P4571
[4]   SELF-STEEPENING OF OPTICAL PULSES IN DISPERSIVE MEDIA [J].
DEOLIVEIRA, JR ;
DEMOURA, MA ;
HICKMANN, JM ;
GOMES, ASL .
JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1992, 9 (11) :2025-2027
[5]   Optical solitary waves in the higher order nonlinear Schrodinger equation [J].
Gedalin, M ;
Scott, TC ;
Band, YB .
PHYSICAL REVIEW LETTERS, 1997, 78 (03) :448-451
[6]  
GOLOVCHENKO EA, 1987, JETP LETT+, V45, P91
[7]   THEORY OF THE SOLITON SELF-FREQUENCY SHIFT [J].
GORDON, JP .
OPTICS LETTERS, 1986, 11 (10) :662-664
[8]   TRANSMISSION OF STATIONARY NONLINEAR OPTICAL PULSES IN DISPERSIVE DIELECTRIC FIBERS .1. ANOMALOUS DISPERSION [J].
HASEGAWA, A ;
TAPPERT, F .
APPLIED PHYSICS LETTERS, 1973, 23 (03) :142-144
[9]   TRANSMISSION OF STATIONARY NONLINEAR OPTICAL PULSES IN DISPERSIVE DIELECTRIC FIBERS .2. NORMAL DISPERSION [J].
HASEGAWA, A ;
TAPPERT, F .
APPLIED PHYSICS LETTERS, 1973, 23 (04) :171-172
[10]  
Hasegawa A., 1995, Solitons in Optical Communications