Optical solitons of the resonant nonlinear Schrodinger equation with arbitrary index

被引:71
作者
Kudryashov, Nikolay A. [1 ]
机构
[1] Natl Res Nucl Univ MEPhI, Moscow Engn Phys Inst, Dept Appl Math, 31 Kashirskoe Shosse, Moscow 115409, Russia
来源
OPTIK | 2021年 / 235卷
基金
俄罗斯基础研究基金会;
关键词
Resonant nonlinear Schr?dinger equation; Optical soliton; Periodic wave; Solitary wave; Arbitrary index; TRAVELING-WAVE REDUCTION; FIBERS; MODEL;
D O I
10.1016/j.ijleo.2021.166626
中图分类号
O43 [光学];
学科分类号
070207 ; 0803 ;
摘要
Traveling wave reduction of the resonant nonlinear Schr?dinger equation with arbitrary refractive index is considered. The system of equations for real and imaginary parts is presented. The first integrals for the system of equations are found. This system of equations is transformed to the only governing nonlinear ordinary differential equations of the first order. Exact solutions in the form of periodic and solitary waves of this nonlinear ordinary differential equation are given for various values of the refractive index.
引用
收藏
页数:6
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