Journals / Bitlis Eren Üniversitesi Fen Bilimleri Dergisi / 2022 / Cilt: 11 - Sayı: 2

The New Wave Solutions in the Field of Superconductivity

Pages
449–458
Publication Date
2022-10-12
DOI
—
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AI Summary & Key Takeaways

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

Additionally the 2-D and the 3-D graphs accompanying the density and contour plots are illustrated.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this study, the Landau-Ginzburg-Higgs (LGH) equation which has the physically important wave solutions is considered.
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Key Findings & Data:This equation is discussed via modified exponential function method (MEFM) to describe superconductivity.
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Conclusion & Impact:Additionally the 2-D and the 3-D graphs accompanying the density and contour plots are illustrated.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this study, the Landau-Ginzburg-Higgs (LGH) equation which has the physically important wave solutions is considered. This equation is discussed via modified exponential function method (MEFM) to describe superconductivity. Some new solutions are discovered in the form of rational, hyperbolic and trigonometric functions when compared with the ones taking part in the literature. The functions which are candidate to be the exact solutions of the nonlinear equation are tested by Mathematica program at the end of the steps of the method and it is observed that they satisfy the LGH equation. Additionally the 2-D and the 3-D graphs accompanying the density and contour plots are illustrated.

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Cite This Article

BULUT, H., KIRCI, Ö., AKTÜRK, T. (2022). The New Wave Solutions in the Field of Superconductivity. Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, Cilt: 11 - Sayı: 2, 449–458. https://ajindex.com/articles/466567

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References (14)

  1. Xiang T. 2015. A Summary of the Korteweg-de Vries Equation. Institute for Mathematical Sciences, Renmin University of China, Beijing, 100872, China
  2. Zayed E.M.E., Alurrfi, K.A.E. 2015. On solving two higher-order nonlinear PDEs describing the propagation of optical pulses in optic fibers using the -expansion method. Ricerche di Mathematica, 64 (1): 167–194
  3. Mohyud-Din S.T., Noor Aslam M., Noor Inayat K. 2010. Exp-function method for traveling wave solutions of modified Zakharov-Kuznetsov equation. Journal of King Saud University (Science), 22 (4): 213-216
  4. Wazwaz A.M. 2004. The tanh method for traveling wave solutions of nonlinear equations. Applied Mathematics and Computation, 154 (3): 713-723
  5. Wang K.J., Wang G.D. 2021. Solitary and periodic wave solutions of the generalized fourth-order Boussinesq equation via He's variational methods. Mathematical Methods in the Applied Sciences, 44 (7): 5617-5625
  6. Abdelrahman M.A.E., Sohaly M.A. 2019. On the new wave solutions to the MCH equation. Indian Journal of Physics, 93 (7): 903-911
  7. Baskonus H.M., Gomez-Aguilar J.F. 2019. New singular soliton solutions to the longitudinal wave equation in a magneto-electro-elastic circular rod with M-derivative. Modern Physics Letters B, 33 (21)
  8. Kudryashov N.A. 2010. A note on the -expansion method. Applied Mathematics and Computation, 217 (4): 1755-1758
  9. Xian-Lin Y., Jia-Shi T. 2008. Travelling Wave Solutions for Konopelchenko–Dubrovsky Equation Using an Extended sinh-Gordon Equation Expansion Method. Communications in Theoretical Physics, 50 (5): 1047
  10. Rezazadeh H., Korkmaz A., Khater M.M.A., Eslami M., Lu D., Attia R.A.M. 2019. New exact traveling wave solutions of biological population model via the extended rational sinh-cosh method and the modified Khater method. Modern Physics Letters B, 33(28): 1950338
  11. He J.H. 1999. Variational iteration method – a kind of non-linear analytical technique: some examples. International Journal of Nonlinear Mechanics, 34 (4): 699-708
  12. Liu S., Fu Z., Liu S., Zhao Q. 2001. Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations. Physics Letters A, 289 (1-2): 69-74
  13. Zhang S. 2006. New exact solutions of the KdV–Burgers–Kuramoto equation. Physics Letters A, 358 (5-6): 414-420
  14. Barman H.K., Akbar M.A., Osman M.S., Nisar K.S., Zakarya M., Abdel-Aty A.H., Eleuch H. 2021. Solutions to the Konopelchenko-Dubrovsky equation and the Landau-Ginzbur