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Solution of the (2+1) Dimensional Breaking Soliton Equation by Using Two Different Methods

Cilt: 1 Sayı: 1 1 Mayıs 2016
  • Guldem Yıldız
  • Durmus Daghan
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EN

Solution of the (2+1) Dimensional Breaking Soliton Equation by Using Two Different Methods

Öz

The non-linear partial differential (2+1) dimensional Breaking Soliton equation is studied
by using the direct integration and homotopy perturbation method. In this study, we use direct
integration to obtain the known solution in the literature in practical and shortest way by assigning
some special values to the constants in the solutions of the (2+1) dimensional Breaking Soliton
equation. We also obtain same type solution for (2+1) dimensional Breaking Soliton equation by
using the homotopy perturbation method with one iteration. Similarly, same type solutions can be
done different methods such as (G'/G)-expansion method.

Anahtar Kelimeler

Kaynakça

  1. [1] S. Arbabi, M. Najafi, Soliton solutions of nonlinear evolution equations in mathematical Physics, Optik, 2016, 127 4270–4274.
  2. [2] F. Calogero, A. Degasperis, Nonlinear evolution equations solvable by the inverse spectral transform, Nuovo Cimento B, 1976, 32, 201-242.B, 1976, 32, 201.
  3. [3] F. Calogero, A. Degasperis, Nonlinear evolution equations solvable by the inverse spectral transform, Nuovo Cimento B, 1977, 39, 1-54.
  4. [4] B. Tian, K. Zhao, Y. Gao, Symbolic Computation in Engineering: Application to a Breaking Soliton Equation, Letters in Applied and Engineering Sciences, 1997, 35, 1081-1083.
  5. [5] Z. Yan, H. Zhang, Constructing Families of Soliton-Like Solutions to a (2+l)-Dimensional Breaking Soliton Equation Using Symbolic Computation, Computers and Mathematics with Applications, 2002, 44, 1439-1444.
  6. [6] X. Geng, C. Cao, Explicit solutions of the 2 + 1-dimensional breaking soliton equation, Chaos, Solitons and Fractals, 2004, 22 683–691.
  7. [7] J. Mei , H. Zhang, New types of exact solutions for a breaking soliton equation, Chaos, Solitons and Fractals, 2004, 20, 771–777.
  8. [8] S. Zhang, New exact non-traveling wave and coefficient function solutions of the (2 + 1)-dimensional breaking soliton equations, Physics Letters A, 2007, 368, 470–475.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik, Mühendislik

Bölüm

Araştırma Makalesi

Yazarlar

Guldem Yıldız Bu kişi benim

Durmus Daghan Bu kişi benim

Yayımlanma Tarihi

1 Mayıs 2016

Gönderilme Tarihi

6 Aralık 2016

Kabul Tarihi

16 Aralık 2016

Yayımlandığı Sayı

Yıl 2016 Cilt: 1 Sayı: 1

Kaynak Göster

APA
Yıldız, G., & Daghan, D. (2016). Solution of the (2+1) Dimensional Breaking Soliton Equation by Using Two Different Methods. Journal of Engineering Technology and Applied Sciences, 1(1), 13-18. https://doi.org/10.30931/jetas.281377
AMA
1.Yıldız G, Daghan D. Solution of the (2+1) Dimensional Breaking Soliton Equation by Using Two Different Methods. Journal of Engineering Technology and Applied Sciences. 2016;1(1):13-18. doi:10.30931/jetas.281377
Chicago
Yıldız, Guldem, ve Durmus Daghan. 2016. “Solution of the (2+1) Dimensional Breaking Soliton Equation by Using Two Different Methods”. Journal of Engineering Technology and Applied Sciences 1 (1): 13-18. https://doi.org/10.30931/jetas.281377.
EndNote
Yıldız G, Daghan D (01 Mayıs 2016) Solution of the (2+1) Dimensional Breaking Soliton Equation by Using Two Different Methods. Journal of Engineering Technology and Applied Sciences 1 1 13–18.
IEEE
[1]G. Yıldız ve D. Daghan, “Solution of the (2+1) Dimensional Breaking Soliton Equation by Using Two Different Methods”, Journal of Engineering Technology and Applied Sciences, c. 1, sy 1, ss. 13–18, May. 2016, doi: 10.30931/jetas.281377.
ISNAD
Yıldız, Guldem - Daghan, Durmus. “Solution of the (2+1) Dimensional Breaking Soliton Equation by Using Two Different Methods”. Journal of Engineering Technology and Applied Sciences 1/1 (01 Mayıs 2016): 13-18. https://doi.org/10.30931/jetas.281377.
JAMA
1.Yıldız G, Daghan D. Solution of the (2+1) Dimensional Breaking Soliton Equation by Using Two Different Methods. Journal of Engineering Technology and Applied Sciences. 2016;1:13–18.
MLA
Yıldız, Guldem, ve Durmus Daghan. “Solution of the (2+1) Dimensional Breaking Soliton Equation by Using Two Different Methods”. Journal of Engineering Technology and Applied Sciences, c. 1, sy 1, Mayıs 2016, ss. 13-18, doi:10.30931/jetas.281377.
Vancouver
1.Guldem Yıldız, Durmus Daghan. Solution of the (2+1) Dimensional Breaking Soliton Equation by Using Two Different Methods. Journal of Engineering Technology and Applied Sciences. 01 Mayıs 2016;1(1):13-8. doi:10.30931/jetas.281377

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