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Complex hyperbolic traveling wave solutions of Kuramoto-Sivashinsky equation using (1/G') expansion method for nonlinear dynamic theory

Cilt: 21 Sayı: 2 28 Haziran 2019
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Complex hyperbolic traveling wave solutions of Kuramoto-Sivashinsky equation using (1/G') expansion method for nonlinear dynamic theory

Öz

In this paper, it is (1/G') expansion method which are used to obtain new complex hyperbolic traveling wave solutions of the non-linear Kuramoto-Sivashinsky equation.   Special values are given to the parameters in the solutions obtained and graphs are drawn.  These graphs are presented using special package program.  This method is employed to achieve the goals set for this study.

Anahtar Kelimeler

Kaynakça

  1. Zhang, S., and Xia, T., A generalized new auxiliary equation method and its applications to nonlinear partial differential equations, Physics Letters A, 363 (5-6), 356-360, (2007).
  2. Wang, M., Li, X., and Zhang, J., The (G′ G)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics, Physics Letters A, 372 (4), 417-423, (2008).
  3. Liao, S., On the homotopy analysis method for nonlinear problems, Applied Mathematics and Computation, 147 (2), 499-513, (2004).
  4. Jiong, S., Auxiliary equation method for solving nonlinear partial differential equations, Physics Letters A, 309 (5-6), 387-396, (2003).
  5. Raslan, K. R., The first integral method for solving some important nonlinear partial differential equations, Nonlinear Dynamics, 53 (4), 281-286, (2008).
  6. Gurefe, Y., Misirli, E., Sonmezoglu, A., and Ekici, M., Extended trial equation method to generalized nonlinear partial differential equations, Applied Mathematics and Computation, 219 (10), 5253-5260, (2013).
  7. Liu, S., Fu, Z., Liu, S., and Zhao, Q., Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations, Physics Letters A, 289 (1-2), 69-74, (2001).
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Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yayımlanma Tarihi

28 Haziran 2019

Gönderilme Tarihi

7 Nisan 2019

Kabul Tarihi

10 Temmuz 2019

Yayımlandığı Sayı

Yıl 2019 Cilt: 21 Sayı: 2

Kaynak Göster

APA
Yokuş, A., & Durur, H. (2019). Complex hyperbolic traveling wave solutions of Kuramoto-Sivashinsky equation using (1/G’) expansion method for nonlinear dynamic theory. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 21(2), 590-599. https://doi.org/10.25092/baunfbed.631193
AMA
1.Yokuş A, Durur H. Complex hyperbolic traveling wave solutions of Kuramoto-Sivashinsky equation using (1/G’) expansion method for nonlinear dynamic theory. BAUN Fen. Bil. Enst. Dergisi. 2019;21(2):590-599. doi:10.25092/baunfbed.631193
Chicago
Yokuş, Asıf, ve Hülya Durur. 2019. “Complex hyperbolic traveling wave solutions of Kuramoto-Sivashinsky equation using (1/G’) expansion method for nonlinear dynamic theory”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 21 (2): 590-99. https://doi.org/10.25092/baunfbed.631193.
EndNote
Yokuş A, Durur H (01 Haziran 2019) Complex hyperbolic traveling wave solutions of Kuramoto-Sivashinsky equation using (1/G’) expansion method for nonlinear dynamic theory. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 21 2 590–599.
IEEE
[1]A. Yokuş ve H. Durur, “Complex hyperbolic traveling wave solutions of Kuramoto-Sivashinsky equation using (1/G’) expansion method for nonlinear dynamic theory”, BAUN Fen. Bil. Enst. Dergisi, c. 21, sy 2, ss. 590–599, Haz. 2019, doi: 10.25092/baunfbed.631193.
ISNAD
Yokuş, Asıf - Durur, Hülya. “Complex hyperbolic traveling wave solutions of Kuramoto-Sivashinsky equation using (1/G’) expansion method for nonlinear dynamic theory”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 21/2 (01 Haziran 2019): 590-599. https://doi.org/10.25092/baunfbed.631193.
JAMA
1.Yokuş A, Durur H. Complex hyperbolic traveling wave solutions of Kuramoto-Sivashinsky equation using (1/G’) expansion method for nonlinear dynamic theory. BAUN Fen. Bil. Enst. Dergisi. 2019;21:590–599.
MLA
Yokuş, Asıf, ve Hülya Durur. “Complex hyperbolic traveling wave solutions of Kuramoto-Sivashinsky equation using (1/G’) expansion method for nonlinear dynamic theory”. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, c. 21, sy 2, Haziran 2019, ss. 590-9, doi:10.25092/baunfbed.631193.
Vancouver
1.Asıf Yokuş, Hülya Durur. Complex hyperbolic traveling wave solutions of Kuramoto-Sivashinsky equation using (1/G’) expansion method for nonlinear dynamic theory. BAUN Fen. Bil. Enst. Dergisi. 01 Haziran 2019;21(2):590-9. doi:10.25092/baunfbed.631193

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