Soliton solutions of Hirota equation and Hirota-Maccari system
Abstract
In this paper, the trial equation method is presented to seek the exact solutions of two nonlinear partial differential equations (NLPDEs), namely, the Hirota equation and the Hirota-Maccari system. The obtained solutions are solitary, topological, singular solitons and singular periodic waves. This method is powerful, effective and it can be extended to many NLPDEs.
Keywords
Kaynakça
- P. Gray and S. Scott, Chemical oscillations and instabilities, Clarendon, Oxford, 1990.
- M. J. Ablowitz and P. A. Clarkson, Soliton, Nonlinear evolution equations and inverse scattering transform, Cambridg University Press, New York,1991.
- V. O. Vakhnenko, E. J. Parkes and A. J. Morrison, A Backlund transformation and the inverse scattering transform method for the generalized Vakhnenko equation, Chaos, Solitons and Fractals, 17 (2003), 683.
- Mahmoud M. El-Borai, Exact solutions for some nonlinear fractional parabolic fractional partial differential equations, Journal of Applied Mathematics and Computation 206 (2008,) 141-153.
- Mahmoud M. El-Borai, Afaf A. Zaghrout and Amal L. Elshaer, Exact solutions for nonlinear partial differential equations by using the extended multiple Riccati equations expansion method, Inter. J. of Research and Reviews in Applied Sciences, 9(3) (2011), 370-381.
- E. M. E. Zayed and A.H. Arnous, DNA dynamics studied using the homogeneous balance method, Chinese Physics Letters, 29(8) (2012), 080203.
- R. Hirota, Direct method of finding exact solutions of nonlinear evolution equations, in: R. Bulloygh, P. Coudrey (Eds.), Bäcklund transformation, Springer, Berlin, (1980).
- M. L. Wang, X. Li, Applications of F-expansion to periodic wave solutions for a new Hamiltonian amplitude equation. Chaos Solit. Fract., 24 (2005), 1257-1268.
Ayrıntılar
Birincil Dil
İngilizce
Konular
-
Bölüm
Araştırma Makalesi
Yazarlar
M. M. El-borai
*
Bu kişi benim
Egypt
H. M. El-owaidy
Bu kişi benim
Egypt
Hamdy M. Ahmed
Bu kişi benim
Egypt
A. H. Arnous
Bu kişi benim
Egypt
Yayımlanma Tarihi
30 Eylül 2016
Gönderilme Tarihi
17 Şubat 2016
Kabul Tarihi
14 Mart 2016
Yayımlandığı Sayı
Yıl 2016 Cilt: 4 Sayı: 3