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] S. Arbabi, M. Najafi, Soliton solutions of nonlinear evolution equations in mathematical Physics, Optik, 2016, 127 4270–4274.
- [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] F. Calogero, A. Degasperis, Nonlinear evolution equations solvable by the inverse spectral transform, Nuovo Cimento B, 1977, 39, 1-54.
- [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] 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] X. Geng, C. Cao, Explicit solutions of the 2 + 1-dimensional breaking soliton equation, Chaos, Solitons and Fractals, 2004, 22 683–691.
- [7] J. Mei , H. Zhang, New types of exact solutions for a breaking soliton equation, Chaos, Solitons and Fractals, 2004, 20, 771–777.
- [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
Yayımlanma Tarihi
1 Mayıs 2016
Gönderilme Tarihi
6 Aralık 2016
Kabul Tarihi
16 Aralık 2016
Yayımlandığı Sayı
Yıl 2016 Cilt: 1 Sayı: 1
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
Cited By
SITEM for the conformable space-time fractional Boussinesq and (2 + 1)-dimensional breaking soliton equations
Journal of Ocean Engineering and Science
https://doi.org/10.1016/j.joes.2020.11.010Calogero-Bogoyavlenskii-Schiff denkleminin analitik çözümleri
Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi
https://doi.org/10.25092/baunfbed.893451New Approach for Solving (2+1)-Dimensional Differential Equation
Journal of Physics: Conference Series
https://doi.org/10.1088/1742-6596/1818/1/012182