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Journals / Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2021 / Cilt: 11 - Sayı: 2

Soliton Solutions of Generalized Third-Order Nonlinear Schrödinger Equation by Using GKM

Şeyma TÜLÜCE DEMİRAY
Uğur BAYRAKCI
Pages
1481–1488
Publication Date
2021-06-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Then, we have shown the validity of the obtained solutions.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, we have worked on GKM in order to obtain the soliton solutions of the generalized third-order nonlinear Schrödinger equation.
📊
Key Findings & Data:Also, we have drawn some 2D and 3D surfaces of these obtained results by using Wolfram Mathematica 12.
💡
Conclusion & Impact:Then, we have shown the validity of the obtained solutions.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Generalized Kudryashov method · generalized third-order nonlinear Schrödinger equation · soliton solutions

Abstract

In this study, we have worked on GKM in order to obtain the soliton solutions of the generalized third-order nonlinear Schrödinger equation. Thus, we have acquired some new soliton solutions of the generalized third-order nonlinear Schrödinger equation which has an important usage area in optical fiber. Also, we have drawn some 2D and 3D surfaces of these obtained results by using Wolfram Mathematica 12. Then, we have shown the validity of the obtained solutions.

Özet

In this study, we have worked on GKM in order to obtain the soliton solutions of the generalized third-order nonlinear Schrödinger equation. Thus, we have acquired some new soliton solutions of the generalized third-order nonlinear Schrödinger equation which has an important usage area in optical fiber. Also, we have drawn some 2D and 3D surfaces of these obtained results by using Wolfram Mathematica 12. Then, we have shown the validity of the obtained solutions.

🔖

Cite This Article

DEMİRAY, Ş. T., BAYRAKCI, U. (2021). Soliton Solutions of Generalized Third-Order Nonlinear Schrödinger Equation by Using GKM. Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 11 - Sayı: 2, 1481–1488. https://ajindex.com/articles/256524

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References (11)

  1. Arshad M, Seadawy AR, Lu D, 2017a. Bright–dark solitary wave solutions of generalized higher-order nonlinear Schrödinger equation and its application in optics. Journal of Electromagnetic Waves and Applications, 31(16): 1711–1721.
  2. Arshad M, Seadawy AR, Lu D, 2017b. Exact bright–dark solitary wave solutions of the higher-order cubic–quintic nonlinear Schrödinger equation and its stability. Optik-International Journal for Light and Electron Optics, 138: 40-49.
  3. Azzouzi F, Triki H, Mezghiche K, El Akrmi A, 2009. Solitary wave solutions for high dispersive cubic–quintic nonlinear Schrödinger equation. Chaos Solitons and Fractals, 39(3): 1304-1307.
  4. Biswas A, Triki H, Zhou Q, Moshokoa SP, Ullah MZ, Belic M, 2017. Cubic–quartic optical solitons in Kerr and power law media. Optik-International Journal for Light and Electron Optics, 144: 357–362.
  5. Chettouh S, Triki H, El-Akrmi Zhou AQ, Moshokoa SP, Ullah MZ, Biswas A, Belic M, 2017. Dipole solitons in an extended nonlinear Schrödinger's equation with higher-order even and odd terms. Optik-International Journal for Light and Electron Optics, 145: 644-649.
  6. Chowdury A, Kedziora DJ, Ankiewicz A, Akhmediev N, 2014. Soliton solutions of an integrable nonlinear Schrodinger equation with quintic terms. Physical Review, 90(032922): 1-9.
  7. Hosseini K, Osman MS, Mirzazadeh M, Rabiei F, 2020. Investigation of different wave structures to the generalized third-order nonlinear Scrödinger equation. Optik-International Journal for Light and Electron Optics, 206(164259): 1-7.
  8. Liu W, Qiu DQ, He JS, 2015. Localized properties of rogue wave for a higher-order nonlinear Schrödinger equation. Communications in Theoretical Physics, 63(5): 525-534.
  9. Lu D, Seadawy AR, Wang J, Arshad M, Farooq U, 2019. Soliton solutions of the generalised third-order nonlinear Schrödinger equation by two mathematical methods and their stability. Pramana Journal of Physics, 93(44): 1-9. Ma YL, 2019. Interaction and energy transition between the breather and rogue wave for a generalized nonlinear Schrödinger system with two higher-order dispersion operators in optical fibers. Nonlinear Dynamics, 97(1): 95-105.
  10. Nasreen N, Seadawy AR, Lu D, Albarakati WA, 2019. Dispersive solitary wave and soliton solutions of the gernalized third order nonlinear Schrödinger dynamical equation by modified analytical method. Results in Physics, 15(102641): 1-7.
  11. Pandir Y, Tuluce Demiray S, Bulut H, 2016. A new approach for some NLDEs with variable coefficients. Optik-International Jou