Araştırma Makalesi

Soliton solutions of Hirota equation and Hirota-Maccari system

Cilt: 4 Sayı: 3 30 Eylül 2016
  • M. M. El-borai *
  • H. M. El-owaidy
  • Hamdy M. Ahmed
  • A. H. Arnous
PDF İndir
EN

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

  1. P. Gray and S. Scott, Chemical oscillations and instabilities, Clarendon, Oxford, 1990.
  2. M. J. Ablowitz and P. A. Clarkson, Soliton, Nonlinear evolution equations and inverse scattering transform, Cambridg University Press, New York,1991.
  3. 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.
  4. 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.
  5. 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.
  6. E. M. E. Zayed and A.H. Arnous, DNA dynamics studied using the homogeneous balance method, Chinese Physics Letters, 29(8) (2012), 080203.
  7. R. Hirota, Direct method of finding exact solutions of nonlinear evolution equations, in: R. Bulloygh, P. Coudrey (Eds.), Bäcklund transformation, Springer, Berlin, (1980).
  8. 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

Kaynak Göster

APA
El-borai, M. M., El-owaidy, H. M., Ahmed, H. M., & Arnous, A. H. (2016). Soliton solutions of Hirota equation and Hirota-Maccari system. New Trends in Mathematical Sciences, 4(3), 231-238. https://izlik.org/JA99JG35HG
AMA
1.El-borai MM, El-owaidy HM, Ahmed HM, Arnous AH. Soliton solutions of Hirota equation and Hirota-Maccari system. New Trends in Mathematical Sciences. 2016;4(3):231-238. https://izlik.org/JA99JG35HG
Chicago
El-borai, M. M., H. M. El-owaidy, Hamdy M. Ahmed, ve A. H. Arnous. 2016. “Soliton solutions of Hirota equation and Hirota-Maccari system”. New Trends in Mathematical Sciences 4 (3): 231-38. https://izlik.org/JA99JG35HG.
EndNote
El-borai MM, El-owaidy HM, Ahmed HM, Arnous AH (01 Eylül 2016) Soliton solutions of Hirota equation and Hirota-Maccari system. New Trends in Mathematical Sciences 4 3 231–238.
IEEE
[1]M. M. El-borai, H. M. El-owaidy, H. M. Ahmed, ve A. H. Arnous, “Soliton solutions of Hirota equation and Hirota-Maccari system”, New Trends in Mathematical Sciences, c. 4, sy 3, ss. 231–238, Eyl. 2016, [çevrimiçi]. Erişim adresi: https://izlik.org/JA99JG35HG
ISNAD
El-borai, M. M. - El-owaidy, H. M. - Ahmed, Hamdy M. - Arnous, A. H. “Soliton solutions of Hirota equation and Hirota-Maccari system”. New Trends in Mathematical Sciences 4/3 (01 Eylül 2016): 231-238. https://izlik.org/JA99JG35HG.
JAMA
1.El-borai MM, El-owaidy HM, Ahmed HM, Arnous AH. Soliton solutions of Hirota equation and Hirota-Maccari system. New Trends in Mathematical Sciences. 2016;4:231–238.
MLA
El-borai, M. M., vd. “Soliton solutions of Hirota equation and Hirota-Maccari system”. New Trends in Mathematical Sciences, c. 4, sy 3, Eylül 2016, ss. 231-8, https://izlik.org/JA99JG35HG.
Vancouver
1.M. M. El-borai, H. M. El-owaidy, Hamdy M. Ahmed, A. H. Arnous. Soliton solutions of Hirota equation and Hirota-Maccari system. New Trends in Mathematical Sciences [Internet]. 01 Eylül 2016;4(3):231-8. Erişim adresi: https://izlik.org/JA99JG35HG