journal article·2021-02-01Open access

Optical solitons in birefringent fibers with quadratic-cubic nonlinearity using three integration architectures

J. F. Gómez-Aguilar, M. S. Osman, Nauman Raza, Asad Zubair, Saima Arshed, Mohamed E. Ghoneim, Emad E. Mahmoud, Abdel-Haleem Abdel-Aty

AIP Advances· Volume 11· Issue 2

Abstract

In this work, the nonlinear Schrödinger’s equation is studied for birefringent fibers incorporating four-wave mixing. The improved tanϕ(ξ)2-expansion, first integral, and G′G2-expansion methods are used to extract a novel class of optical solitons in the quadratic-cubic nonlinear medium. The extracted solutions are dark, periodic, singular, and dark-singular, along with other soliton solutions. These solutions are listed with their respective existence criteria. The recommended computational methods here are uncomplicated, outspoken, and consistent and minimize the computational work size, which give it a wide range of applicability. A detailed comparison with the results that already exist is also presented.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Nonlinear Waves and Solitons · Nonlinear Photonic Systems · Advanced Fiber Laser Technologies

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

Tecnológico Nacional de México/CENIDET, Interior Internado Palmira S/N, Col. Palmira, Mexico Universidad Virtual CNCI 1 , C.P. 62490 Cuernavaca, Morelos, Mexico

Department of Mathematics, Faculty of Science, Cairo University 2 , Giza 12613, Egypt

Department of Mathematics, Faculty of Applied Science, Umm Alqura University 3 , Makkah 21955, Saudi Arabia

Department of Mathematics, Namal Institute, Talagang Road 4 , Mianwali 42250, Pakistan

Department of Mathematics and Statistics, College of Science, Taif University 5 , P.O. Box 11099, Taif 21944, Saudi Arabia

Department of Mathematics, Faculty of Science, Sohag University 6 , Sohag 82524, Egypt

Department of Physics, College of Sciences, University of Bisha 7 , P.O. Box 344, Bisha 61922, Saudi Arabia

Physics Department, Faculty of Science, Al-Azhar University 8 , Assiut 71524, Egypt

Funding

Taif University · Centro de Investigaciones Biológicas del Noroeste

References (63)

Show source-provided references
1. Abundant solitary wave solutions to an extended nonlinear Schrödinger’s equation with conformable derivative using an efficient integration method10.1186/s13662-020-02787-7 ↗
2. Novel multiple soliton solutions for some nonlinear PDEs via multiple exp-function method10.1016/j.rinp.2020.103769 ↗
3. Onset of the broad-ranging general stable soliton solutions of nonlinear equations in physics and gas dynamics10.1016/j.rinp.2020.103762 ↗
4. Conservation laws for cubic-quartic optical solitons in Kerr and power law media10.1016/j.ijleo.2017.08.047 ↗
5. Resonant 1-soliton solution in anti-cubic nonlinear medium with perturbations10.1016/j.ijleo.2017.07.036 ↗
6. Cubic-quartic optical solitons in Kerr and power law media10.1016/j.ijleo.2017.07.008 ↗
7. Optical dark and singular solitons to the Biswas–Milovic equation in nonlinear optics with spatio-temporal dispersion10.1016/j.ijleo.2017.12.186 ↗
8. Optical soliton perturbation with anti-cubic nonlinearity by semi-inverse variational principle10.1016/j.ijleo.2017.06.087 ↗
9. Perturbation theory and optical soliton cooling with anti-cubic nonlinearity10.1016/j.ijleo.2017.05.060 ↗
10. Dynamics of optical solitons with Radhakrishanan–Kundu–Lakshmanan model via two reliable integration schemes10.1016/j.ijleo.2018.09.133 ↗
11. A variety of nonautonomous complex wave solutions for the (2 + 1)-dimensional nonlinear Schrödinger equation with variable coefficients in nonlinear optical fibers10.1016/j.ijleo.2018.12.002 ↗
12. Solitary wave solutions for perturbed nonlinear Schrodinger’s equation with Kerr law nonlinearity under the DAM10.1016/j.ijleo.2015.02.075 ↗
13. Exact traveling wave solutions of perturbed nonlinear Schrodinger’s equation (NLSE) with Kerr law nonlinearity10.1016/j.ijleo.2011.10.028 ↗
14. Analytic study on optical solitons in a Kerr-law medium with an imprinted parity-time-symmetric mixed linear-nonlinear lattice
15. Abundant complex wave solutions for the nonautonomous Fokas–Lenells equation in presence of perturbation terms10.1016/j.ijleo.2018.12.064 ↗
16. Perturbation of solitons with non-Kerr law nonlinearity10.1016/s0960-0779(01)00057-1 ↗
17. A sub-ODE method for finding exact solutions of a generalized KdV–mKdV equation with high order nonlinear terms10.1016/j.physleta.2006.09.022 ↗
18. Exp-function method for nonlinear wave equations10.1016/j.chaos.2006.03.020 ↗
19. New optical solitary wave solutions of Fokas-Lenells equation in optical fiber via Sine-Gordon expansion method10.1016/j.aej.2020.01.037 ↗
20. Optical dark and dark-singular soliton solutions of (1 + 2)-dimensional chiral nonlinear Schrodinger equation10.1080/17455030.2018.1451009 ↗
21. Prediction of unique solitary-wave polaritons in quadratic-cubic nonlinear dispersive media10.1364/josab.11.002581 ↗
22. Chaotic solitons in the quadratic-cubic nonlinear Schrodinger equation under nonlinearity management10.1063/1.3629985 ↗
23. N. equation with beta-derivative via three distinctive approaches10.1140/epjp/s13360-020-00751-8 ↗
24. Determining new soliton solutions for a generalized nonlinear evolution equation using an effective analytical method10.1016/j.aej.2020.07.032 ↗
25. Numerical simulation for fractional-order Bloch equation arising in nuclear magnetic resonance by using the Jacobi polynomials10.3390/app10082850 ↗
26. Solving non-linear fractional variational problems using Jacobi polynomials10.3390/math7030224 ↗
27. Numerical method based on Galerkin approximation for the fractional advection-dispersion equation10.1007/s40819-016-0233-0 ↗
28. Chirped solitons in discrete electrical transmission line10.1016/j.rinp.2020.103188 ↗
29. New approach to approximate the solution for the system of fractional order Volterra integro-differential equations10.1016/j.rinp.2020.103453 ↗
30. A reliable method based on second kind Chebyshev polynomial for the fractional model of Bloch equation10.1016/j.aej.2017.07.002 ↗
31. Legendre spectral method for the fractional Bratu problem10.1002/mma.6334 ↗
32. Numerical investigation of the fractional order Liénard and Duffing equations arising in oscillating circuit theory10.3389/fphy.2020.00120 ↗
33. Jacobi collocation method for the approximate solution of some fractional-order Riccati differential equations with variable coefficients10.1016/j.physa.2019.04.120 ↗
34. Optical soliton perturbation with quadratic-cubic nonlinearity by semi-inverse variational principle
35. Optical soliton perturbation with quadratic-cubic nonlinearity by the method of undetermined coefficients
36. Optical soliton perturbation with quadratic-cubic nonlinearity by traveling wave hypothesis
37. Optical soliton perturbation with quadratic-cubic nonlinearity by Adomian decomposition method10.1016/j.ijleo.2018.03.008 ↗
38. Optical solitons with quadratic-cubic nonlinearity by semi-inverse variational principle10.1016/j.ijleo.2017.03.111 ↗
39. Bright, dark and dark-singular soliton solutions of nonlinear Schrodinger’s equation with spatio-temporal dispersion10.1080/09500340.2018.1480066 ↗
40. Analytical and numerical simulations for the kinetics of phase separation in iron (Fe–Cr–X (X = Mo, Cu)) based on ternary alloys10.1016/j.physa.2019.122634 ↗
41. Resonant optical solitons with quadratic-cubic nonlinearity by semi-inverse variational principle10.1016/j.ijleo.2017.07.028 ↗
42. Multi-wave solutions of the (2 + 1)-dimensional Nizhnik-Novikov-Veselov equations with variable coefficients10.1140/epjp/i2015-15215-1 ↗
43. Jacobi elliptic function expansion method for solving KdV equation with conformable derivative and dual-power law nonlinearity10.1007/s40819-019-0710-3 ↗
44. New analytical wave structures for the (3 + 1)-dimensional Kadomtsev-Petviashvili and the generalized Boussinesq models and their applications10.1016/j.rinp.2019.102491 ↗
45. Traveling wave solutions for (3+ 1) dimensional conformable fractional Zakharov-Kuznetsov equation with power law nonlinearity10.1515/nleng-2018-0163 ↗
46. Analytical study of solitons to Benjamin-Bona-Mahony-Peregrine equation with power law nonlinearity by using three methods
47. Traveling wave solutions to nonlinear directional couplers by modified Kudryashov method10.1088/1402-4896/ab95af ↗
48. A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment10.1016/j.chaos.2020.110321 ↗
49. Optical switching scheme based on the transmission of coupled gap solitons in nonlinear periodic dielectric media10.1364/ol.18.000962 ↗
50. Interplay of grating and nonlinearity in mode coupling10.1364/josab.11.000064 ↗
51. Nonlinear pulse propagation in birefringent fiber Bragg gratings10.1364/oe.3.000418 ↗
52. The (G′/G)-expension method and traveling wave solutions of nonlinear evolution equations in mathematical physics10.1016/j.physleta.2007.07.051 ↗
53. On distinctive solitons type solutions for some important nonlinear Schrödinger equations10.1007/s11082-020-02711-z ↗
54. The first integral method applied to the Bogoyavlenskii equations by means of conformable fractional derivative10.1007/s11082-017-1224-z ↗
55. The first integral method to study the Burgers–Korteweg–dV equation10.1088/0305-4470/35/2/312 ↗
56. Traveling wave solution for some nonlinear evolution equations by the first integral method
57. Exact solutions of the nonlinear Schrodinger equation by the first integral method10.1016/j.jmaa.2010.08.050 ↗
58. Traveling wave and exact solutions for the perturbed nonlinear Schrödinger equation with Kerr law nonlinearity10.1140/epjp/i2018-12061-7 ↗
59. Optical solitons in birefringent fibers with quadratic-cubic nonlinearity by extended trial function scheme10.1016/j.ijleo.2018.09.106 ↗
60. Optical solitons in birefringent fibers with quadratic-cubic nonlinearity by extended Jacobi’s elliptic function expansion10.1016/j.ijleo.2018.09.154 ↗
61. Optical solitons in birefringent fibers with quadratic-cubic nonlinearity by extended (G′/G)-expansion scheme10.1016/j.ijleo.2018.09.159 ↗
62. Optical solitons in birefringent fibers with four-wave mixing for quadratic-cubic nonlinearity by F-expansion10.1016/j.ijleo.2018.09.180 ↗
63. New improvement of the expansion methods for solving the generalized Fitzhugh-Nagumo equation with time-dependent coefficients10.1155/2015/107978 ↗