Araştırma Makalesi

The Multi-Wave Method for Exact Solutions of Nonlinear Partial Differential Equations

Cilt: 2 Sayı: 1 30 Nisan 2017
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The Multi-Wave Method for Exact Solutions of Nonlinear Partial Differential Equations

Öz

In this research, we use the multi-wave method to obtain new exact solutions for generalized forms of 5th order KdV equation and fth order KdV (fKdV) equation with power law nonlinearity. Computations are performed with the help of the mathematics software Mathematica. Then, periodic wave solutions, bright soliton solutions and rational function solutions with free parameters are obtained by this approach. It is shown that this method is very useful and effective.

Anahtar Kelimeler

Kaynakça

  1. [1] A. Biswas, H. Triki, 1-Soliton solution of the D(m; n) equation with generalized evolution, Appl. Math. Comput. 217 (2011), 8482-8488.
  2. [2] R. Hirota, Exact solution of the KdV equation for multiple collisions of solitons, Phys. Rev. Lett. 27 (1971), 1192-1194.
  3. [3] R. Hirota, Exact N-soliton solution of the wave equation of long waves in shallow and nonlinear lattices, J. Math. Phys. 14 (1973), 810-814.
  4. [4] Y. Gurefe, E. Misirli, Exp-function method for solving nonlinear evolution equations with higher order nonlinearity, Comput. Math. Appl. 61 (2011), 2025-2030.
  5. [5] E. Misirli, Y. Gurefe, Exp-function method for solving nonlinear evolution equations, Math. Comput. Appl. 16 (2011), 258-266.
  6. [6] Y. Gurefe, E. Misirli, New variable separation solutions of two-dimensional Burgers system, Appl. Math. Comput. 217 (2011), 9189-9197.
  7. [7] Y. Gurefe, A. Sonmezoglu, E. Misirli, Application of the trial equation method for solving some nonlinear evolution equations arising in mathematical physics, Pramana-J. Phys. 77 (2011), 1023-1029.
  8. [8] Z.D. Dai, C.J. Wang, S.Q. Lin, D.L. Li, G. Mu, The three-wave method for nonlinear evolution equations, Nonl. Sci. Lett. A. 1 (2010), 77-82.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yazarlar

Yusuf Pandir
BOZOK ÜNİVERSİTESİ
Türkiye

Halime Ulusoy Bu kişi benim
Türkiye

Yayımlanma Tarihi

30 Nisan 2017

Gönderilme Tarihi

4 Nisan 2017

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2017 Cilt: 2 Sayı: 1

Kaynak Göster

APA
Pandir, Y., & Ulusoy, H. (2017). The Multi-Wave Method for Exact Solutions of Nonlinear Partial Differential Equations. Journal of Engineering Technology and Applied Sciences, 2(1), 13-26. https://doi.org/10.30931/jetas.303875
AMA
1.Pandir Y, Ulusoy H. The Multi-Wave Method for Exact Solutions of Nonlinear Partial Differential Equations. Journal of Engineering Technology and Applied Sciences. 2017;2(1):13-26. doi:10.30931/jetas.303875
Chicago
Pandir, Yusuf, ve Halime Ulusoy. 2017. “The Multi-Wave Method for Exact Solutions of Nonlinear Partial Differential Equations”. Journal of Engineering Technology and Applied Sciences 2 (1): 13-26. https://doi.org/10.30931/jetas.303875.
EndNote
Pandir Y, Ulusoy H (01 Nisan 2017) The Multi-Wave Method for Exact Solutions of Nonlinear Partial Differential Equations. Journal of Engineering Technology and Applied Sciences 2 1 13–26.
IEEE
[1]Y. Pandir ve H. Ulusoy, “The Multi-Wave Method for Exact Solutions of Nonlinear Partial Differential Equations”, Journal of Engineering Technology and Applied Sciences, c. 2, sy 1, ss. 13–26, Nis. 2017, doi: 10.30931/jetas.303875.
ISNAD
Pandir, Yusuf - Ulusoy, Halime. “The Multi-Wave Method for Exact Solutions of Nonlinear Partial Differential Equations”. Journal of Engineering Technology and Applied Sciences 2/1 (01 Nisan 2017): 13-26. https://doi.org/10.30931/jetas.303875.
JAMA
1.Pandir Y, Ulusoy H. The Multi-Wave Method for Exact Solutions of Nonlinear Partial Differential Equations. Journal of Engineering Technology and Applied Sciences. 2017;2:13–26.
MLA
Pandir, Yusuf, ve Halime Ulusoy. “The Multi-Wave Method for Exact Solutions of Nonlinear Partial Differential Equations”. Journal of Engineering Technology and Applied Sciences, c. 2, sy 1, Nisan 2017, ss. 13-26, doi:10.30931/jetas.303875.
Vancouver
1.Yusuf Pandir, Halime Ulusoy. The Multi-Wave Method for Exact Solutions of Nonlinear Partial Differential Equations. Journal of Engineering Technology and Applied Sciences. 01 Nisan 2017;2(1):13-26. doi:10.30931/jetas.303875