Journals / An International Journal of Optimization and Control: Theories & Applications (IJOCTA) / 2020 / Cilt: 10 - Sayı: 1

The complex Ginzburg Landau equation in Kerr and parabolic law media

Pages
113–117
Publication Date
2022-10-11
DOI
—
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AI Summary & Key Takeaways

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

The existence criteria of these solutions Keywords: are also indicated.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:This paper study the complex Ginzburg-Landau equation with two differentforms of nonlinearity.
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Key Findings & Data:The Jacobi elliptic ansatz method is used to obtain theoptical soliton solutions of this equation in the kerr and parabolic law media.Bright and dark optical soliton solutions are acquired as well as Jacobi ellipticfunction solutions.
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Conclusion & Impact:The existence criteria of these solutions Keywords: are also indicated.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

This paper study the complex Ginzburg-Landau equation with two differentforms of nonlinearity. The Jacobi elliptic ansatz method is used to obtain theoptical soliton solutions of this equation in the kerr and parabolic law media.Bright and dark optical soliton solutions are acquired as well as Jacobi ellipticfunction solutions. The existence criteria of these solutions Keywords: are also indicated.

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Cite This Article

ATEŞ, E. (2022). The complex Ginzburg Landau equation in Kerr and parabolic law media. An International Journal of Optimization and Control: Theories & Applications (IJOCTA), Cilt: 10 - Sayı: 1, 113–117. https://ajindex.com/articles/440572

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References (15)

  1. Aranson, I.S., Kramer, L. (2002). The world of the complex Ginzburg-Landau equation. Reviews of Modern Physics, 74(1) 99–143
  2. Cross, M.C., Hohenberg, p.C. (1993). Pattern formation outside of equilibrium. Reviews of Modern Physics, 65(3) 851
  3. Matsuo, T., Furihata, D. (2001). Dissipative or conservative finite-difference schemes for complex-valued nonlinear partial differential equations. Journal of Computational Physics, 171(2) 425–447
  4. Ginzburg, V.L., Landau, L.D. (1950). On the theory of superconductivity. Zhurnal Eksperimentalnoi i Teoreticheskoi Fiziki, 20 1064–1082
  5. Biswas, A. (2018). Chirp-free bright optical solitons and conservation laws for complex Ginzburg-Landau equation with three nonlinear forms. Optik - International Journal for Light and Electron Optics, 174, 207–215
  6. Mirzazadeh, M., Ekici, M., Sonmezoglu, A., Eslami, M., Zhou, Q., Kara, A.H., Milovic, D., Majid, F.B., Biswas, A., Belic, M. (2016). Optical solitons with complex Ginzburg-Landau equation. Nonlinear Dynamics, 85(3),1979-2016
  7. Biswas, A., Yildirim, Y., Yasar, E., Triki, H., Alshomrani, A. S., Ullah, M. Z., Zhou, Q., Moshokoa, S. p., Belic, M. (2018). Optical soliton perturbation with complex Ginzburg– Landau equation using trial solution approach. Optik, 160, 44–60
  8. Biswas, A., Yildirim, Y., Yasar, E., Triki, H., Alshomrani, A.S., Ullah, M.Z., Belic, M. (2018). Optical soliton perturbation for complex Ginzburg–Landau equation with modified simple equation method. Optik, 158, 399– 415
  9. Akram, G., Mahak, N. (2018). Application of the first integral method for solving (1+1) dimensional cubic-quintic complex Ginzburg- Landau equation. Optik, 164, 210–217
  10. Biswas, A., Alqahtani, R.T. (2017). Optical soliton perturbation with complex Ginzburg- Landau equation by semi-inverse variational principle. Optik, 147, 77–81
  11. Shwetanshumala, S. (2008). Temporal solitons of modified complex Ginzburg Landau equation. Progress In Electromagnetics Research, 3, 17–24
  12. Arshed, S. (2018). Soliton solutions of fractional complex Ginzburg-Landau equation with Kerr law and non-Kerr law media. Optik, 160, 322-332
  13. Baskonus, H.M. (2019). Complex Soliton Solutions to the Gilsonpickering Model. Axioms, 8(1), 18
  14. Ilhan, O.A., Esen, A., Bulut H., Baskonus H.M. (2019). Singular Solitons in the pseudoparabolic Model Arising in Nonlinear Surface Waves. Results in Physics, 12, 1712–1715
  15. Cattani, C., Sulaiman, T.A., Baskonus H.M., Bulut, H. (2018).