Advanced search
Publication Cover
Journal of Modern Optics Volume 64, 2017 - Issue 21
Submit an article Journal homepage
269
Views
37
CrossRef citations to date
0
Altmetric
Articles

Optical solitons to the nonlinear Shrödinger’s equation with spatio-temporal dispersion using complex amplitude ansatz

Mustafa IncScience Faculty, Department of Mathematics, Firat University, Elazig, Turkiye.Correspondence[email protected]
,
Aliyu Isa AliyuScience Faculty, Department of Mathematics, Firat University, Elazig, Turkiye.;Science Faculty, Department of Mathematics, Federal University Dutse, Jigawa, Nigeria.
&
Abdullahi YusufScience Faculty, Department of Mathematics, Firat University, Elazig, Turkiye.;Science Faculty, Department of Mathematics, Federal University Dutse, Jigawa, Nigeria.
Pages 2273-2280 | Received 21 Mar 2017, Accepted 24 Jun 2017, Published online: 25 Jul 2017

Citations (37)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (4)

Alphonse Houwe, Souleymanou Abbagari, Serge Yamigno Doka, Mustafa Inc & Kofane Timoleon Crepin. (2021) Influence of the next-nearest neighbor and the boson–boson interactions on U-shaped, W-shaped profile and modulation instability gain spectra in a zig–zag optical lattice. Waves in Random and Complex Media 0:0, pages 1-14.
Read now
Mustafa Inc, Aliyu Isa Aliyu, Abdullahi Yusuf & Dumitru Baleanu. (2019) Dark–bright optical solitary waves and modulation instability analysis with (2 + 1)-dimensional cubic-quintic nonlinear Schrödinger equation. Waves in Random and Complex Media 29:3, pages 393-402.
Read now
Mustafa Inc, Aliyu Isa Aliyu, Abdullahi Yusuf & Dumitru Baleanu. (2019) Grey and black optical solitary waves, and modulation instability analysis to the perturbed nonlinear Schrödinger equation with Kerr law nonlinearity. Journal of Modern Optics 66:6, pages 647-651.
Read now
Aliyu Isa Aliyu, Fairouz Tchier, Mustafa Inc, Abdullahi Yusuf & Dumitru Baleanu. (2019) Dynamics of optical solitons, multipliers and conservation laws to the nonlinear schrödinger equation in (2+1)-dimensions with non-Kerr law nonlinearity. Journal of Modern Optics 66:2, pages 136-142.
Read now

Articles from other publishers (33)

Mustafa Inc, Rubayyi T. Alqahtani & Muhammad Sajid Iqbal. (2023) Stability analysis and consistent solitary wave solutions for the reaction–diffusion regularized nonlinear model. Results in Physics 54, pages 107053.
Crossref
Vineesh Kumar & Arvind Patel. (2023) Dynamical behaviour of solitons and modulation instability analysis of a nonautonomous -dimensional nonlinear Schrödinger equation . Optik 293, pages 171412.
Crossref
Mustafa Inc, Muhammad S. Iqbal, Muhammad Z. Baber, Muhammad Qasim, Zafar Iqbal, Muhammad Akhtar Tarar & Ali Hasan Ali. (2023) Exploring the solitary wave solutions of Einstein's vacuum field equation in the context of ambitious experiments and space missions. Alexandria Engineering Journal 82, pages 186-194.
Crossref
Shao-Wen Yao, Tahir Shahzad, Muhammad O. Ahmed, Muhammad Z. Baber, Muhammad Sajid Iqbal & Mustafa Inc. (2023) Extraction of soliton solutions for the time–space fractional order nonclassical Sobolev-type equation with unique physical problems. Results in Physics 45, pages 106256.
Crossref
Cheng Chen, Lu Li & Wei Liu. (2022) Some New Optical Solitons of the Generalized Radhakrishnan–Kundu–Lakshmanan Equations with Powers of Nonlinearity. Symmetry 14:12, pages 2626.
Crossref
Yasir Akbar & Hammad Alotaibi. (2022) A novel approach to explore optical solitary wave solution of the improved perturbed nonlinear Schrödinger equation. Optical and Quantum Electronics 54:8.
Crossref
Shafqat-Ur-Rehman, Muhammad Bilal & Jamshad Ahmad. (2021) Dynamics of soliton solutions in saturated ferromagnetic materials by a novel mathematical method. Journal of Magnetism and Magnetic Materials 538, pages 168245.
Crossref
Muhammad Bilal, Shafqat-Ur-Rehman & Jamshad Ahmad. (2021) Investigation of optical solitons and modulation instability analysis to the Kundu–Mukherjee–Naskar model. Optical and Quantum Electronics 53:6.
Crossref
Abdelfattah EL Achab, Hadi Rezazadeh, Dumitru Baleanu, Temesgen Desta Leta, Shumaila Javeed & Khurram Saleem Alimgeer. (2020) Ginzburg Landau equation's Innovative Solution (GLEIS). Physica Scripta 96:3, pages 035204.
Crossref
Tukur Abdulkadir Sulaiman, Abdullahi Yusuf & Marwan Alquran. (2021) Dynamics of optical solitons and nonautonomous complex wave solutions to the nonlinear Schrodinger equation with variable coefficients. Nonlinear Dynamics 104:1, pages 639-648.
Crossref
Ammar Oad, Muhammad Arshad, Muhammad Shoaib, Dianchen Lu & Xiaohong Li. (2021) Novel Soliton Solutions of Two-Mode Sawada-Kotera Equation and Its Applications. IEEE Access 9, pages 127368-127381.
Crossref
Vineesh Kumar & Arvind Patel. (2020) Construction of the soliton solutions and modulation instability analysis for the Mel’nikov system. Chaos, Solitons & Fractals 140, pages 110159.
Crossref
Nauman Ahmed, Tahira S. S.M. Imran, M. Rafiq, M. A. Rehman & M. Younis. (2019) Numerical analysis of auto-catalytic glycolysis model. AIP Advances 9:8.
Crossref
R. Udaiyakumar, Naim Ben Ali, Bhupeshwaran Mani Naicker, M. S. Mani Rajan, P. Yupapin & I. S. Amiri. (2019) Analytical and numerical demonstration of phase characteristics on two solitons under the influence of third-order dispersion. Optical and Quantum Electronics 51:5.
Crossref
A. H. Abdel Kader, M. S. Abdel Latif & H. M. Nour. (2019) Some Exact Solutions of the Kudryashov–Sinelshchikov Equation Using Point Transformations. International Journal of Applied and Computational Mathematics 5:2.
Crossref
Aliyu Isa Aliyu, Mustafa Inc, Abdullahi Yusuf & Dumitru Baleanu. (2019) Optical solitons and stability analysis with spatio-temporal dispersion in Kerr and quadric-cubic nonlinear media. Optik 178, pages 923-931.
Crossref
Mustafa Inc, Aliyu Isa Aliyu, Abdullahi Yusuf & Dumitru Baleanu. (2018) Optical solitons and modulation instability analysis to the quadratic-cubic nonlinear Schrödinger equation. Nonlinear Analysis: Modelling and Control 24:1, pages 20-33.
Crossref
E. Hashemizadeh & A. Ebrahimzadeh. (2018) An efficient numerical scheme to solve fractional diffusion-wave and fractional Klein–Gordon equations in fluid mechanics. Physica A: Statistical Mechanics and its Applications 503, pages 1189-1203.
Crossref
Mustafa Inc, Aliyu Isa Aliyu, Abdullahi Yusuf & Dumitru Baleanu. (2018) On the classification of conservation laws and soliton solutions of the long short-wave interaction system. Modern Physics Letters B 32:18, pages 1850202.
Crossref
Mustafa Inc, Aliyu Isa Aliyu, Abdullahi Yusuf & Dumitru Baleanu. (2018) Optical and singular solitary waves to the PNLSE with third order dispersion in Kerr media via two integration approaches. Optik 163, pages 142-151.
Crossref
Mustafa Inc, Aliyu Isa Aliyu, Abdullahi Yusuf & Dumitru Baleanu. (2018) Optical solitons for complex Ginzburg–Landau model in nonlinear optics. Optik 158, pages 368-375.
Crossref
Mustafa Inc, Aliyu Isa Aliyu, Abdullahi Yusuf & Dumitru Baleanu. (2018) Combined optical solitary waves and conservation laws for nonlinear Chen–Lee–Liu equation in optical fibers. Optik 158, pages 297-304.
Crossref
Mustafa Inc, Aliyu Isa Aliyu, Abdullahi Yusuf & Dumitru Baleanu. (2018) Optical solitons for Biswas-Milovic Model in nonlinear optics by Sine-Gordon equation method. Optik 157, pages 267-274.
Crossref
Mustafa Inc, Aliyu Isa Aliyu, Abdullahi Yusuf & Dumitru Baleanu. (2018) Dark and combined optical solitons, and modulation instability analysis in dispersive metamaterial. Optik 157, pages 484-491.
Crossref
Mustafa Inc, Aliyu Isa Aliyu, Abdullahi Yusuf & Dumitru Baleanu. (2018) Optical solitary waves, conservation laws and modulation instability analysis to the nonlinear Schrödinger's equation in compressional dispersive Alvèn waves. Optik 155, pages 257-266.
Crossref
Mustafa Inc, Aliyu Isa Aliyu, Abdullahi Yusuf, Dumitru Baleanu & Elif Nuray. (2018) Complexiton and solitary wave solutions of the coupled nonlinear Maccari’s system using two integration schemes. Modern Physics Letters B 32:02, pages 1850014.
Crossref
Mustafa Inc, Aliyu Isa Aliyu, Abdullahi Yusuf & Dumitru Baleanu. (2018) Novel optical solitary waves and modulation instability analysis for the coupled nonlinear Schrödinger equation in monomode step-index optical fibers. Superlattices and Microstructures 113, pages 745-753.
Crossref
Mustafa Inc, Aliyu Isa Aliyu, Abdullahi Yusuf & Dumitru Baleanu. (2018) Optical solitons to the resonance nonlinear Schrödinger equation by Sine-Gordon equation method. Superlattices and Microstructures 113, pages 541-549.
Crossref
Bang-Qing Li, Yu-Lan Ma & Tie-Mei Yang. (2018) Stable optical soliton in the ring-cavity fiber system with carbon nanotube as saturable absorber. Superlattices and Microstructures 113, pages 366-372.
Crossref
Mustafa Inc, Aliyu Isa Aliyu, Abdullahi Yusuf & Dumitru Baleanu. (2018) Dispersive optical solitons and modulation instability analysis of Schrödinger-Hirota equation with spatio-temporal dispersion and Kerr law nonlinearity. Superlattices and Microstructures 113, pages 319-327.
Crossref
Mustafa Inc, Aliyu Isa Aliyu, Abdullahi Yusuf & Dumitru Baleanu. (2017) Optical solitons and modulation instability analysis of an integrable model of (2+1)-Dimensional Heisenberg ferromagnetic spin chain equation. Superlattices and Microstructures 112, pages 628-638.
Crossref
Mustafa Inc, Abdullahi Yusuf, Aliyu Isa Aliyu & Dumitru Baleanu. (2017) Optical soliton solutions for the higher-order dispersive cubic-quintic nonlinear Schrödinger equation. Superlattices and Microstructures 112, pages 164-179.
Crossref
Dumitru Baleanu, Mustafa Inc, Aliyu Isa Aliyu & Abdullahi Yusuf. (2017) Dark optical solitons and conservation laws to the resonance nonlinear Shrödinger's equation with Kerr law nonlinearity. Optik 147, pages 248-255.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.