Manakov model of coupled NLS equation and its optical soliton solutions

被引：19

作者：

Yilmaz, Esra Unal ^{[1
]}

Khodad, Farid Samsami ^{[2
]}

Ozkan, Yesim Saglam ^{[3
]}

Abazari, Reza ^{[4
]}

Abouelregal, A. E. ^{[5
,6
]}

Shaayesteh, Mayssam Tarighi ^{[7
]}

Rezazadeh, Hadi ^{[2
]}

Ahmad, Hijaz ^{[8
,9
]}

机构：

[1] Abant Izzet Baysal Univ, Dept Math, Bolu, Turkiye

[2] Amol Univ Special Modern Technol, Fac Engn Technol, Amol, Iran

[3] Bursa Uludag Univ, Dept Math, Bursa, Turkiye

[4] Univ Mohaghegh Ardabili, Dept Math & Applicat, Ardebil, Iran

[5] Jouf Univ, Coll Sci & Arts, Dept Math, Al Qurayat, Saudi Arabia

[6] Jouf Univ, Basic Sci Res Unit, Sakaka, Saudi Arabia

[7] Amir Kabir Univ, Tehran, Iran

[8] Al Ayen Univ, Sci Res Ctr, Math Appl Sci & Engn Res Grp, Nasiriyah 64001, Iraq

[9] Int Telemat Univ Uninettuno, Sect Math, Corso Vittorio Emanuele II 39, I-00186 Rome, Italy

来源：

JOURNAL OF OCEAN ENGINEERING AND SCIENCE | 2024年 / 9卷 / 04期

关键词：

Manakov model; Extended auxiliary equation method; Optical solutions; Solitons; MATHEMATICAL PHYSICS MODELS; INTERNAL WAVES;

D O I：

10.1016/j.joes.2022.03.005

中图分类号：

U6 [水路运输]; P75 [海洋工程];

学科分类号：

0814 ; 081505 ; 0824 ; 082401 ;

摘要：

In the field of maritime transport, motion and energy, the dynamics of deep-sea waves is one of the major problems in ocean science. A mathematical modeling of dynamics of solitary waves in deep sea under the two-layer stratification leads to NLS equation, and consequently, the interaction two of them can be formulated by coupled NLS equation. In this work, extended auxiliary equation and the exp(-w- (chi ) ) expansion methods are employed to make the optical solutions of the Manakov model of coupled NLS equation. The methods used in this paper, in addition to providing the analysis of individual wave solutions, also provide general optical solutions. Some previously known solutions can be obtained by some special selections of parameters obtained by solving systems of algebraic equations. At this stage, it is more practical and convenient to apply methods with a symbolic calculation system. (c) 2022 Shanghai Jiaotong University. Published by Elsevier B.V. This is an open access article under the CC BY-NC-ND license ( http://creativecommons.org/licenses/by-nc-nd/4.0/ )

引用

页码：364 / 372

页数：9

共 67 条

[1]

Abdelrahman M.A., 2014, Global Journal of Science Frontier Research, V14

[2] An analytical method for space-time fractional nonlinear differential equations arising in plasma physics [J].

Abdou, Mohamed Aly .

JOURNAL OF OCEAN ENGINEERING AND SCIENCE, 2017, 2 (04) :288-292

[3] Vibration analysis of nanobeams subjected to gradient-type heating due to a static magnetic field under the theory of nonlocal elasticity [J].

Ahmad, Hijaz ;

Abouelregal, Ahmed E. ;

Benhamed, Moez ;

Alotaibi, Maged Faihan ;

Jendoubi, Abir .

SCIENTIFIC REPORTS, 2022, 12 (01)

[4] Analytic approximate solutions of diffusion equations arising in oil pollution [J].

Ahmad, Hijaz ;

Khan, Tufail A. ;

Durur, Hulya ;

Ismail, G. M. ;

Yokus, Asif .

JOURNAL OF OCEAN ENGINEERING AND SCIENCE, 2021, 6 (01) :62-69

[5]

Ahmad I, 2021, J OCEAN ENG SCI, DOI [10.1016/j.joes.2021.08.014, 10.1016/j.joes.2021.08.014, DOI 10.1016/J.JOES.2021.08.014, 10.1016/j.joes. 2021.08.014]

[6] The bright and singular solitons of (2+1)-dimensional nonlinear Schrodinger equation with spatio-temporal dispersions [J].