Chirped Self-Similar Solutions of a Generalized Nonlinear Schrodinger Equation

被引:0
作者
Fei, Jin-Xi [1 ]
Zheng, Chun-Long [2 ,3 ]
机构
[1] Lishui Univ, Coll Math & Phys, Lishui 323000, Zhejiang, Peoples R China
[2] Shaoguan Univ, Sch Phys & Electromech Engn, Guangzhou 512005, Guangdong, Peoples R China
[3] Shanghai Univ, Shanghai Inst Appl Math & Mech, Shanghai 200072, Peoples R China
来源
ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2011年 / 66卷 / 1-2期
关键词
F-Expansion Technique; The Generalized Nonlinear Schrodinger Equation; Chirped Self-Similar Solutions; Propagate Self-Similarly; MULTISCALE REDUCTION; SIMILAR PROPAGATION; PARABOLIC PULSES; OPTICAL-FIBERS; SOLITARY WAVES; COMPRESSION; AMPLIFICATION; DISPERSION; SYSTEMS; PDES;
D O I
暂无
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
An improved homogeneous balance principle and an F-expansion technique are used to construct exact chirped self-similar solutions to the generalized nonlinear Schrodinger equation with distributed dispersion, nonlinearity, and gain coefficients. Such solutions exist under certain conditions and impose constraints on the functions describing dispersion, nonlinearity, and distributed gain function. The results show that the chirp function is related only to the dispersion coefficient, however, it affects all of the system parameters, which influence the form of the wave amplitude. As few characteristic examples and some simple chirped self-similar waves are presented.
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页码:1 / 5
页数:5
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