Araştırma Makalesi

On new traveling wave solutions of the Hirota-Satsuma coupled KdV equation

Cilt: 5 Sayı: 3 1 Temmuz 2017
  • M. Tuncay Gencoglu *
  • Ali Akgul
  • Mustafa Inc
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On new traveling wave solutions of the Hirota-Satsuma coupled KdV equation

Abstract

The improved (G′ /G)-expansion method is applied to reach the different type soliton solitions of the Hirota-Satsuma Coupled KdV (HSCKdV) equation. It is obtained hyperbolic, triangular, periodic wave and kink soliton solitions of this equation. The method is an effective one to reach the different types of solutions of nonlinear partial differential equations and systems. Finally, the numerical simulations add to these obtained solutions.

Keywords

Kaynakça

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  2. Wang, M. L., Li, X. Z., Zhang, J. L., 2008. The (G^I/G)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics, Phys. Lett. A 372 , 417–423.
  3. Bhrawy, A. H., Abdelkawy, M. A.,Biswas, A., 2013. Topological solitons and cnoidal waves to a few nonlinear wave equations in theoretical physics, Indian J. Phys. 87, 1125-1131.
  4. Biswas, A.., Krishnan, E.V.,2011. Exact solutions for Ostrovsky equation, Indian J Phys 85, 1513-1521.
  5. Ray, S. S.,Shaoo, S.,2015. A Novel Analytical Method with Fractional Complex Transform for New Exact Solutions of Time-Fractional Fifth-Order Sawada-Kotera Equation, Rep. Math. Phys.75,63-72.
  6. Wu, X. H.,He., J. H.,2007. Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method, Comput. Math. Appl. 54 966-986.
  7. Liu, X.,Zhang, W., Li, Z., 2012. Application of Improved (G’/G)–Expansion Method to Traveling Wave Solutions of Two Nonlinear Evolution Equations, Adv. App. math. Mech. 4, 122-130.
  8. Hashemi, M. S., Abbasbandy, S., Alhuthali, M.S. and Alsulami, H.H., 2015. Conservation laws and symmetries of mKdV-KP equation, Romanian Journal of Physics 60 904–917.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

M. Tuncay Gencoglu * Bu kişi benim
Türkiye

Ali Akgul Bu kişi benim
Türkiye

Mustafa Inc Bu kişi benim
Türkiye

Yayımlanma Tarihi

1 Temmuz 2017

Gönderilme Tarihi

22 Şubat 2017

Kabul Tarihi

24 Nisan 2017

Yayımlandığı Sayı

Yıl 2017 Cilt: 5 Sayı: 3

Kaynak Göster

APA
Gencoglu, M. T., Akgul, A., & Inc, M. (2017). On new traveling wave solutions of the Hirota-Satsuma coupled KdV equation. New Trends in Mathematical Sciences, 5(3), 262-272. https://izlik.org/JA65CT98ES
AMA
1.Gencoglu MT, Akgul A, Inc M. On new traveling wave solutions of the Hirota-Satsuma coupled KdV equation. New Trends in Mathematical Sciences. 2017;5(3):262-272. https://izlik.org/JA65CT98ES
Chicago
Gencoglu, M. Tuncay, Ali Akgul, ve Mustafa Inc. 2017. “On new traveling wave solutions of the Hirota-Satsuma coupled KdV equation”. New Trends in Mathematical Sciences 5 (3): 262-72. https://izlik.org/JA65CT98ES.
EndNote
Gencoglu MT, Akgul A, Inc M (01 Temmuz 2017) On new traveling wave solutions of the Hirota-Satsuma coupled KdV equation. New Trends in Mathematical Sciences 5 3 262–272.
IEEE
[1]M. T. Gencoglu, A. Akgul, ve M. Inc, “On new traveling wave solutions of the Hirota-Satsuma coupled KdV equation”, New Trends in Mathematical Sciences, c. 5, sy 3, ss. 262–272, Tem. 2017, [çevrimiçi]. Erişim adresi: https://izlik.org/JA65CT98ES
ISNAD
Gencoglu, M. Tuncay - Akgul, Ali - Inc, Mustafa. “On new traveling wave solutions of the Hirota-Satsuma coupled KdV equation”. New Trends in Mathematical Sciences 5/3 (01 Temmuz 2017): 262-272. https://izlik.org/JA65CT98ES.
JAMA
1.Gencoglu MT, Akgul A, Inc M. On new traveling wave solutions of the Hirota-Satsuma coupled KdV equation. New Trends in Mathematical Sciences. 2017;5:262–272.
MLA
Gencoglu, M. Tuncay, vd. “On new traveling wave solutions of the Hirota-Satsuma coupled KdV equation”. New Trends in Mathematical Sciences, c. 5, sy 3, Temmuz 2017, ss. 262-7, https://izlik.org/JA65CT98ES.
Vancouver
1.M. Tuncay Gencoglu, Ali Akgul, Mustafa Inc. On new traveling wave solutions of the Hirota-Satsuma coupled KdV equation. New Trends in Mathematical Sciences [Internet]. 01 Temmuz 2017;5(3):262-7. Erişim adresi: https://izlik.org/JA65CT98ES