Araştırma Makalesi

Approximate solutions of coupled Ramani equation by using RDTM with compared DTM and exact solutions

Cilt: 4 Sayı: 4 31 Aralık 2016
  • Murat Gubes *
  • Galip Oturanc
PDF İndir
EN

Approximate solutions of coupled Ramani equation by using RDTM with compared DTM and exact solutions

Abstract

In this paper, we present a new approximate solutions of famous coupled Ramani Equation. In order to obtain the solution, we use the semi-analytical methods differential transform method (DTM) and reduced form of DTM called reduced differential transform method (RDTM). We compare the RDTM solutions with exact solution and DTM. Numerical results show clearly that DTM and RDTM are very effective and also provide very accurate solutions. Also, one can conclude that RDTM is used easier than DTM and converges faster than the DTM for these kind of problems.

Keywords

Kaynakça

  1. Ramani A., Inverse scattering, ordinary differential equations of Painleve-type and Hirota’s bilinear formalism. In: Fourth International Conference Collective Phenomena, New York: Academy of Sciences (1981), p. 54.
  2. Hirota R., Direct method of finding exact solutions of nonlinear evolution equations, In: Bullough R., Caudrey P., editors. Backlund transformations, Berlin, Springer (1980), p. 1157-75.
  3. Hu X. B., Wang D. L., Tam H. W., Lax pairs and backlund transformations for a coupled Ramani equation and its related system, Applied Mathematics Letters (2000), 13, 45-48.
  4. Zhao J. X., Tam H. W., Soliton solutions of a coupled Ramani equation, Appl Math Lett, 16 (2006), 307-313.
  5. Ablowitz M. J., Clarkson P. A., Solitons, nonlinear evolution equations and inverse scattering transform, Cambridge University press, 1990.
  6. Ito M., An extension of nonlinear evolution equations K-dV (mK-dV) type to higher order, J. Physc. Soc. Jpn. (1980), 49 (2), 771-778.
  7. Zhang H., New exact traveling wave solutions for some nonlinear evolution equations, Chaos Solitons and Fractals (2005), 26 (3), 921-5.
  8. Feng Z., Traveling solitary wave solutions to evolution equations with nonlinear terms any order, Chaos Solitons and Fractals (2003), 17 (5), 861-8.

Ayrıntılar

Birincil Dil

İngilizce

Konular

-

Bölüm

Araştırma Makalesi

Yazarlar

Murat Gubes * Bu kişi benim
Türkiye

Galip Oturanc Bu kişi benim
Türkiye

Yayımlanma Tarihi

31 Aralık 2016

Gönderilme Tarihi

28 Nisan 2016

Kabul Tarihi

21 Temmuz 2016

Yayımlandığı Sayı

Yıl 2016 Cilt: 4 Sayı: 4

Kaynak Göster

APA
Gubes, M., & Oturanc, G. (2016). Approximate solutions of coupled Ramani equation by using RDTM with compared DTM and exact solutions. New Trends in Mathematical Sciences, 4(4), 198-212. https://izlik.org/JA64FK57ZG
AMA
1.Gubes M, Oturanc G. Approximate solutions of coupled Ramani equation by using RDTM with compared DTM and exact solutions. New Trends in Mathematical Sciences. 2016;4(4):198-212. https://izlik.org/JA64FK57ZG
Chicago
Gubes, Murat, ve Galip Oturanc. 2016. “Approximate solutions of coupled Ramani equation by using RDTM with compared DTM and exact solutions”. New Trends in Mathematical Sciences 4 (4): 198-212. https://izlik.org/JA64FK57ZG.
EndNote
Gubes M, Oturanc G (01 Aralık 2016) Approximate solutions of coupled Ramani equation by using RDTM with compared DTM and exact solutions. New Trends in Mathematical Sciences 4 4 198–212.
IEEE
[1]M. Gubes ve G. Oturanc, “Approximate solutions of coupled Ramani equation by using RDTM with compared DTM and exact solutions”, New Trends in Mathematical Sciences, c. 4, sy 4, ss. 198–212, Ara. 2016, [çevrimiçi]. Erişim adresi: https://izlik.org/JA64FK57ZG
ISNAD
Gubes, Murat - Oturanc, Galip. “Approximate solutions of coupled Ramani equation by using RDTM with compared DTM and exact solutions”. New Trends in Mathematical Sciences 4/4 (01 Aralık 2016): 198-212. https://izlik.org/JA64FK57ZG.
JAMA
1.Gubes M, Oturanc G. Approximate solutions of coupled Ramani equation by using RDTM with compared DTM and exact solutions. New Trends in Mathematical Sciences. 2016;4:198–212.
MLA
Gubes, Murat, ve Galip Oturanc. “Approximate solutions of coupled Ramani equation by using RDTM with compared DTM and exact solutions”. New Trends in Mathematical Sciences, c. 4, sy 4, Aralık 2016, ss. 198-12, https://izlik.org/JA64FK57ZG.
Vancouver
1.Murat Gubes, Galip Oturanc. Approximate solutions of coupled Ramani equation by using RDTM with compared DTM and exact solutions. New Trends in Mathematical Sciences [Internet]. 01 Aralık 2016;4(4):198-212. Erişim adresi: https://izlik.org/JA64FK57ZG