Combined optical solitary waves of the Fokas-Lenells equation

被引：92
作者：
Triki, Houria [1 ]
Wazwaz, Abdul-Majid [2 ]
机构：
[1] Badji Mokhtar Univ, Dept Phys, Radiat Phys Lab, Fac Sci, Annaba, Algeria
[2] St Xavier Univ, Dept Math, Chicago, IL 60655 USA
来源：
WAVES IN RANDOM AND COMPLEX MEDIA | 2017年 / 27卷 / 04期
关键词：
NONLINEAR SCHRODINGER-EQUATION; SOLITONS; BRIGHT;
D O I：
10.1080/17455030.2017.1285449
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
In this work, we investigate the Fokas-Lenells equation describing the propagation of ultrashort pulses in optical fibers when certain terms of the next asymptotic order beyond those necessary for the nonlinear Schro dinger equation are retained. In addition to group velocity dispersion and Kerr nonlinearity, the model involves both spatio-temporal dispersion and self-steepening terms. A class of exact combined solitary wave solutions of this equation is constructed for the first time, by adopting the complex envelope function ansatz. The influences of spatio-temporal dispersion on the characteristics of combined solitary waves is also discussed.
引用
收藏
页码：587 / 593
页数：7
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