Bifurcation analysis and optical solitons for the concatenation model

被引：35

作者：

Tang, Lu ^{[1
]}

Biswas, Anjan ^{[2
,3
,4
,5
]}

Yildirim, Yakup ^{[6
]}

Alghamdi, Abdulah A. ^{[3
]}

机构：

[1] Chengdu Univ Technol, Sch Math & Phys, Chengdu 610059, Peoples R China

[2] Grambling State Univ, Dept Math & Phys, Grambling, LA 71245 USA

[3] King Abdulaziz Univ, Dept Math, Math Modeling & Appl Computat MMAC Res Grp, Jeddah 21589, Saudi Arabia

[4] Dunarea de Jos Univ Galati, Cross Border Fac Humanities Econ & Engn, Dept Appl Sci, 111 Domneasca St, Galati 800201, Romania

[5] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, ZA-0204 Medunsa, South Africa

[6] Biruni Univ, Dept Comp Engn, TR-34010 Istanbul, Turkiye

来源：

PHYSICS LETTERS A | 2023年 / 480卷

关键词：

Solitons; Bifurcation; Concatenation; DYNAMICS; SYSTEM;

D O I：

10.1016/j.physleta.2023.128943

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

This work carries out the bifurcation analysis of the concatenation model that arises from nonlinear fiber optics. The fixed points of the dynamical system are recovered and classified. The Hamiltonian of the system is presented. The phase portraits of the system are also addressed. Subsequently, integrating along the periodic orbit, the soliton solutions for the model are retrieved. & COPY; 2023 Elsevier B.V. All rights reserved.

引用

页数：10

共 36 条

[1] Soliton-soliton dynamics in a dual-core system with separated nonlinearity and nonuniform Bragg grating [J].

Ahmed, Tanvir ;

Atai, Javid .

NONLINEAR DYNAMICS, 2019, 97 (02) :1515-1523

[2] Quiescent Gap Solitons in Coupled Nonuniform Bragg Gratings with Cubic-Quintic Nonlinearity [J].

Akter, Afroja ;

Islam, Md. Jahedul ;

Atai, Javid .

APPLIED SCIENCES-BASEL, 2021, 11 (11)

[3] On short-range pulse propagation described by (2+1)-dimensional Schrodinger's hyperbolic equation in nonlinear optical fibers [J].

Ali, Khalid K. ;

Wazwaz, Abdul-Majid ;

Mehanna, M. S. ;

Osman, M. S. .

PHYSICA SCRIPTA, 2020, 95 (07)

[4] Bragg Grating Solitons in a Dual-core System with Separated Bragg Grating and Cubic-quintic Nonlinearity [J].

Anam, Nadia ;

Ahmed, Tanvir ;

Atai, Javid .

PHOTOPTICS: PROCEEDINGS OF THE 7TH INTERNATIONAL CONFERENCE ON PHOTONICS, OPTICS AND LASER TECHNOLOGY, 2019, :24-28

[5] Extended nonlinear Schrodinger equation with higher-order odd and even terms and its rogue wave solutions [J].

Ankiewicz, Adrian ;

Wang, Yan ;

Wabnitz, Stefan ;

Akhmediev, Nail .

PHYSICAL REVIEW E, 2014, 89 (01)

[6] Higher-order integrable evolution equation and its soliton solutions [J].

Ankiewicz, Adrian ;

Akhmediev, Nail .

PHYSICS LETTERS A, 2014, 378 (04) :358-361

[7] Optical Solitons and Conservation Laws for the Concatenation Model: Undetermined Coefficients and Multipliers Approach [J].

Biswas, Anjan ;

Vega-Guzman, Jose ;

Kara, Abdul H. ;

Khan, Salam ;

Triki, Houria ;

Gonzalez-Gaxiola, O. ;

Moraru, Luminita ;

Georgescu, Puiu Lucian .

UNIVERSE, 2023, 9 (01)

[8] Derivation of optical solitons of dimensionless Fokas-Lenells equation with perturbation term using Sardar sub-equation method [J].

Cinar, Melih ;

Secer, Aydin ;

Ozisik, Muslum ;

Bayram, Mustafa .

OPTICAL AND QUANTUM ELECTRONICS, 2022, 54 (07)

[9] Conformable space-time fractional nonlinear (1+1)-dimensional Schrodinger-type models and their traveling wave solutions [J].

Darvishi, M. T. ;

Najafi, Mohammad ;

Wazwaz, Abdul-Majid .

CHAOS SOLITONS & FRACTALS, 2021, 150

[10] Some optical soliton solutions of space-time conformable fractional Schrodinger-type models [J].

Darvishi, Mohammad Taghi ;

Najafi, Mohammad ;

Wazwaz, Abdul-Majid .

PHYSICA SCRIPTA, 2021, 96 (06)

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