Optical solitons of the model with generalized anti-cubic nonlinearity

被引：15
|
作者：
Kudryashov, Nikolay A. [1 ,2 ]
机构：
[1] Natl Res Nucl Univ MEPhI, Moscow Engn Phys Inst, 31 Kashirskoe Shosse, Moscow 115409, Russia
[2] Natl Res Ctr, Kurchatov Ctr, 1 Akad Kurchatov Sq, Moscow, Russia
来源：
OPTIK | 2022年 / 257卷
关键词：
Nonlinear differential equation; Anti-cubic nonlinearity; Analytical solution; Optical soliton; Arbitrary refractive index; MODIFIED KUDRYASHOV METHOD; SCHRODINGER-EQUATION; EVOLUTION-EQUATIONS; CONSERVATION-LAWS; WAVE SOLUTIONS; PERTURBATION; FORM;
D O I：
10.1016/j.ijleo.2022.168746
中图分类号：
O43 [光学];
学科分类号：
070207 ; 0803 ;
摘要：
The mathematical model for description of pulse propagation in optical fiber for the generalized anti-cubic nonlinearity with arbitrary refractive index is considered. The Cauchy problem for this partial differential equation cannot be solved by the inverse scattering transform and the analytical solutions of this mathematical model are found taking into account the traveling wave reduction. First integral of nonlinear ordinary differential equation is presented. Analytical solutions in the form of periodic and solitary waves are found using some transformations. Partial cases of the mathematical model for the generalized anti-cubic nonlinearity are studied.
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页数：7
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