Araştırma Makalesi

SITEM for the Conformable Space-Time Fractional Coupled KD Equations

Cilt: 3 Sayı: 3 29 Aralık 2018
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SITEM for the Conformable Space-Time Fractional Coupled KD Equations

Öz

In the present paper, new analytical solutions for the space-time fractional coupled Konopelchenko-Dubrovsky (KD) equations are obtained by using the simplified $\tan(\frac{\phi (\xi) }{2})$-expansion method (SITEM). Here, fractional derivatives are described in conformable sense. The obtained traveling wave solutions are expressed by the trigonometric, hyperbolic, exponential and rational functions. Simulation of the obtained solutions are given at the end of the paper.

Anahtar Kelimeler

Kaynakça

  1. [1] Dehghan, M., Manafian, J., ‘‘The Solution of the Variable Coefficients Fourth- Order Parabolic Partial Differential Equations by the Homotopy Perturbation Method.’’ Zeitschrift für Naturforschung A. 64. 7-8 (2009): 420-430.
  2. [2] Dehghan, M., Manafian J., Saadatmandi, A., ‘‘Solving Nonlinear Fractional Partial Differential Equations Using the Homotopy Analysis Method.’’ Num. Meth. Partial Differential Eq.: An International Journal 26.2 (2010): 448-479.
  3. [3] Dehghan, M., Manafian, J., Saadatmandi, A., ‘‘Analytical treatment of some partial differential equations arising in mathematical physics by using the Exp-function method.’’ Int. J. Modern Phys. B 25.22 (2011): 2965-2981.
  4. [4] Foroutan, M., Zamanpour, I., Manafian, J., ‘‘Applications of IBSOM and ETEM for solving the nonlinear chains of atoms with long-range interactions.’’ Eur. Phys. J. Plus 132.10 (2017): 421.
  5. [5] Seyedi, S. H., Saray, B. N., Nobari, M. R. H., ‘‘Using interpolation scaling functions based on Galerkin method for solving non-Newtonian fluid flow between two vertical flat plates.’’ Appl. Math. Comput. 269 (2015): 488-496.
  6. [6] Seyedi, S. H., Saray, B. N., Ramazani, A., ‘‘On the multiscale simulation of squeezing nanofluid flow by a highprecision scheme.’’ Powder Technology 340 (2018): 264-273.
  7. [7] Konopelchenko, B. G., Dubrovsky, V. G., ‘‘Some new integrable nonlinear evolution equations in (2+1)-dimensions.’’ Phys. Lett. 102 (1984): 15-17.
  8. [8] Ji, L., Sen-Yue, L, Ke-Lin, W., ‘‘Multi-soliton solutions of the Konopelchenko-Dubrovsky equation.’’ Chin. Phys. Lett. 18.9 (2001): 1173.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

29 Aralık 2018

Gönderilme Tarihi

10 Ağustos 2018

Kabul Tarihi

25 Aralık 2018

Yayımlandığı Sayı

Yıl 2018 Cilt: 3 Sayı: 3

Kaynak Göster

APA
Yaslan, H., & Girgin, A. (2018). SITEM for the Conformable Space-Time Fractional Coupled KD Equations. Journal of Engineering Technology and Applied Sciences, 3(3), 223-233. https://doi.org/10.30931/jetas.452732
AMA
1.Yaslan H, Girgin A. SITEM for the Conformable Space-Time Fractional Coupled KD Equations. Journal of Engineering Technology and Applied Sciences. 2018;3(3):223-233. doi:10.30931/jetas.452732
Chicago
Yaslan, Handan, ve Ayşe Girgin. 2018. “SITEM for the Conformable Space-Time Fractional Coupled KD Equations”. Journal of Engineering Technology and Applied Sciences 3 (3): 223-33. https://doi.org/10.30931/jetas.452732.
EndNote
Yaslan H, Girgin A (01 Aralık 2018) SITEM for the Conformable Space-Time Fractional Coupled KD Equations. Journal of Engineering Technology and Applied Sciences 3 3 223–233.
IEEE
[1]H. Yaslan ve A. Girgin, “SITEM for the Conformable Space-Time Fractional Coupled KD Equations”, Journal of Engineering Technology and Applied Sciences, c. 3, sy 3, ss. 223–233, Ara. 2018, doi: 10.30931/jetas.452732.
ISNAD
Yaslan, Handan - Girgin, Ayşe. “SITEM for the Conformable Space-Time Fractional Coupled KD Equations”. Journal of Engineering Technology and Applied Sciences 3/3 (01 Aralık 2018): 223-233. https://doi.org/10.30931/jetas.452732.
JAMA
1.Yaslan H, Girgin A. SITEM for the Conformable Space-Time Fractional Coupled KD Equations. Journal of Engineering Technology and Applied Sciences. 2018;3:223–233.
MLA
Yaslan, Handan, ve Ayşe Girgin. “SITEM for the Conformable Space-Time Fractional Coupled KD Equations”. Journal of Engineering Technology and Applied Sciences, c. 3, sy 3, Aralık 2018, ss. 223-3, doi:10.30931/jetas.452732.
Vancouver
1.Handan Yaslan, Ayşe Girgin. SITEM for the Conformable Space-Time Fractional Coupled KD Equations. Journal of Engineering Technology and Applied Sciences. 01 Aralık 2018;3(3):223-3. doi:10.30931/jetas.452732

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