Optical soliton solutions of time-fractional coupled nonlinear Schrodinger system via Kudryashov-based methods

被引：14

作者：

Onder, Ismail ^{[1
]}

Secer, Aydin ^{[1
,2
]}

Bayram, Mustafa ^{[2
]}

机构：

[1] Yildiz Tech Univ, Math Engn, Istanbul, Turkey

[2] Biruni Univ, Comp Engn, Istanbul, Turkey

来源：

OPTIK | 2023年 / 272卷

关键词：

Time-fractional coupled nonlinear Schr?dinger; system; New Kudryashov method; Kudryashov auxiliary equation method; Optical soliton solutions; PARTIAL-DIFFERENTIAL-EQUATIONS; PORSEZIAN-DANIEL MODEL; LAW; PERTURBATION;

D O I：

10.1016/j.ijleo.2022.170362

中图分类号：

O43 [光学];

学科分类号：

070207 ; 0803 ;

摘要：

Purpose: In this study, we investigated the time-fractional coupled nonlinear Schrodinger (TF-CNLS) system in conformable fractional sense. TF-CNLS system models the circularly-polarized waves in the optic branch of physics frequently.Methodology: To obtain optical solitons of the model via new Kudryashov method and Kudryashov auxiliary equation methods have been applied.Findings: After implementing the mentioned methods on the model, we obtained bright, singular, W-shaped and bright soliton solutions. According to obtained soliton types, it is clearly seen that the methods are efficient and have ease of use. We depicted the results obtained by 3D and 2D graphs and investigated the wave motion according to the parameter and fractional order changes.Originality: We have applied a modulation instability to the TF-CNLS system for the first time. Due to literature research, we propose that this study is innovative and has novel inference.

引用

页数：10