Araştırma Makalesi

Optical Solutions of the Kundu-Eckhaus Equation via Two Different Methods

Cilt: 11 Sayı: 1 30 Haziran 2021
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Optical Solutions of the Kundu-Eckhaus Equation via Two Different Methods

Öz

This work is devoted to obtaining new optical solutions to the Kundu-Eckhaus (KE) equation which is believed to play a crucial part in the area of nonlinear optics. Two different methods, the exp(−𝜑 (ε)) method with the exponential rational function approach have been utilized. Both methods are efficient in finding the analytical solutions of many nonlinear partial differential equations and fractional differential equations. Results obtained in this research are dissimilar to the ones in the literature and the solutions are controlled by relocating them back to the primary equation. Finally, it can be stated that optical solutions have a promising future.


Anahtar Kelimeler

Kaynakça

  1. [[1] Kaplan M., Ozer, M.N., Auto-Bäcklund transformations and solitary wave solutions for the nonlinear evolution equation, Optical and Quantum Electronics, 50(1), 33, 2018.
  2. [2] Akter, J., Akbar, M.A., Exact solutions to the Benney-Luke equation and the Phi-4 equations by using modified simple equation method, Results in Physics, 5, 125-130, 2015.
  3. [3] Ma, W.X., Lee, J.H., A transformed rational function method and exact solutions to the 3+1 dimensional Jimbo-Miwa equation, Chaos, Solitons and Fractals, 42, 1356-1363, 2009.
  4. [4] Mirzazadeh, M., Arnous, A.H., Mahmood, M.F. Zerrad, E. Biswas, A., Soliton solutions to resonant nonlinear Schrödinger’s equation with time-dependent coefficients by trial solution approach, Nonlinear Dynamics, 81, 277-282, 2015.
  5. [5] Bulut, H., Akturk, T., Gurefe, Y., An application of the new function method to the generalized double sinh-Gordon equation, AIP Conference Proceedings 1648, 370014, 2015.
  6. [6] Islam, M.S., Khan, K., Akbar, M. A., An analytical method for finding exact solutions of modified Korteweg-de Vries equation, Results in Physics, 5, 131-135, 2015.
  7. [7] Inan, I.E., Ugurlu, Y., Inc, M., New Applications of the (G’/G,1/G)-Expansion Method, Acta Physica Polonica A, 128, 245-251, 2015.
  8. [8] Abdou, M.A., A generalized auxiliary equation method and its applications, Nonlinear Dynamics, 52, 95-102, 2008.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematiksel Fizik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

30 Haziran 2021

Gönderilme Tarihi

10 Aralık 2020

Kabul Tarihi

14 Mayıs 2021

Yayımlandığı Sayı

Yıl 2021 Cilt: 11 Sayı: 1

Kaynak Göster

APA
Kaplan, M. (2021). Optical Solutions of the Kundu-Eckhaus Equation via Two Different Methods. Adıyaman University Journal of Science, 11(1), 126-135. https://doi.org/10.37094/adyujsci.838536
AMA
1.Kaplan M. Optical Solutions of the Kundu-Eckhaus Equation via Two Different Methods. ADYU J SCI. 2021;11(1):126-135. doi:10.37094/adyujsci.838536
Chicago
Kaplan, Melike. 2021. “Optical Solutions of the Kundu-Eckhaus Equation via Two Different Methods”. Adıyaman University Journal of Science 11 (1): 126-35. https://doi.org/10.37094/adyujsci.838536.
EndNote
Kaplan M (01 Haziran 2021) Optical Solutions of the Kundu-Eckhaus Equation via Two Different Methods. Adıyaman University Journal of Science 11 1 126–135.
IEEE
[1]M. Kaplan, “Optical Solutions of the Kundu-Eckhaus Equation via Two Different Methods”, ADYU J SCI, c. 11, sy 1, ss. 126–135, Haz. 2021, doi: 10.37094/adyujsci.838536.
ISNAD
Kaplan, Melike. “Optical Solutions of the Kundu-Eckhaus Equation via Two Different Methods”. Adıyaman University Journal of Science 11/1 (01 Haziran 2021): 126-135. https://doi.org/10.37094/adyujsci.838536.
JAMA
1.Kaplan M. Optical Solutions of the Kundu-Eckhaus Equation via Two Different Methods. ADYU J SCI. 2021;11:126–135.
MLA
Kaplan, Melike. “Optical Solutions of the Kundu-Eckhaus Equation via Two Different Methods”. Adıyaman University Journal of Science, c. 11, sy 1, Haziran 2021, ss. 126-35, doi:10.37094/adyujsci.838536.
Vancouver
1.Melike Kaplan. Optical Solutions of the Kundu-Eckhaus Equation via Two Different Methods. ADYU J SCI. 01 Haziran 2021;11(1):126-35. doi:10.37094/adyujsci.838536

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