New optical solitary wave solutions of Fokas-Lenells equation in optical fiber via Sine-Gordon expansion method

被引：99

作者：

Ali, Khalid K. ^{[1
]}

Osman, M. S. ^{[2
,3
]}

Abdel-Aty, Mahmoud ^{[4
]}

机构：

[1] Al Azhar Univ, Fac Sci, Math Dept, Nasr City Cairo, Egypt

[2] Cairo Univ, Fac Sci, Dept Math, Giza, Egypt

[3] Umm Alqura Univ, Fac Appl Sci, Dept Math, Mecca 21955, Saudi Arabia

[4] Sohag Univ, Fac Sci, Dept Math, Sohag, Egypt

来源：

ALEXANDRIA ENGINEERING JOURNAL | 2020年 / 59卷 / 03期

关键词：

Solitary wave; Fokas-Lenells equation; Complex transformation; Sine-Gordon expansion method; ENTROPY; SYSTEM; PHASE;

D O I：

10.1016/j.aej.2020.01.037

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This article presents soliton solutions to a generalized nonlinear Fokas-Lenells equation via the Sine-Gordon expansion method. To uncover the clear picture of the gained solutions, the two and three-dimensional figures for the solutions are given. It is shown that the proposed methodology provides powerful mathematical tools for obtaining the exact traveling wave solutions of different nonlinear evolution equations. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University.

引用

页码：1191 / 1196

页数：6

共 44 条

[1] Perspectives for a mixed two-quibit system with binomial quantum states
Abdel-Aty, M
[J]. JOURNAL OF OPTICS B-QUANTUM AND SEMICLASSICAL OPTICS, 2004, 6 (04) : 201 - 210
[2] Quantum field entropy and entanglement of a three-level atom two-mode system with an arbitrary nonlinear medium
Abdel-Aty, M
[J]. JOURNAL OF MODERN OPTICS, 2003, 50 (02) : 161 - 177
[3] Dynamic of DNA's possible impact on its damage
Abdel-Gawad, H. I.
Tantawy, M.
Osman, M. S.
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (02) : 168 - 176
[4] Geometric phase of a moving three-level atom
Abdel-Khalek, S.
El-Saman, Y. S.
Abdel-Aty, M.
[J]. OPTICS COMMUNICATIONS, 2010, 283 (09) : 1826 - 1831
[5] An adaptive numerical approach for the solutions of fractional advection-diffusion and dispersion equations in singular case under Riesz's derivative operator
Abu Arqub, Omar
Al-Smadi, Mohammed
[J]. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2020, 540 (540)
[6] Fitted fractional reproducing kernel algorithm for the numerical solutions of ABC - Fractional Volterra integro-differential equations
Abu Arqub, Omar
Maayah, Banan
[J]. CHAOS SOLITONS & FRACTALS, 2019, 126 : 394 - 402
[7] Solving optimal control problems of Fredholm constraint optimality via the reproducing kernel Hilbert space method with error estimates and convergence analysis
Abu Arqub, Omar
Shawagfeh, Nabil
[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (10) : 7915 - 7932
[8] Modulation of reproducing kernel Hilbert space method for numerical solutions of Riccati and Bernoulli equations in the Atangana-Baleanu fractional sense
Abu Arqub, Omar
Maayah, Banan
[J]. CHAOS SOLITONS & FRACTALS, 2019, 125 : 163 - 170
[9] Numerical Algorithm for the Solutions of Fractional Order Systems of Dirichlet Function Types with Comparative Analysis
Abu Arqub, Omar
[J]. FUNDAMENTA INFORMATICAE, 2019, 166 (02) : 111 - 137
[10] Abundant numerical and analytical solutions of the generalized formula of Hirota-Satsuma coupled KdV system
Ali, Ahmad T.
Khater, Mostafa M. A.
Attia, Raghda A. M.
Abdel-Aty, Abdel-Haleem
Lu, Dianchen
[J]. CHAOS SOLITONS & FRACTALS, 2020, 131

← 1 2 3 4 5 →