Analytic Solutions of the Schamel-KdV Equation by Using Different Methods: Application to a Dusty Space Plasma

Cilt: 21 Sayı: 1 15 Nisan 2017
  • Orhan Dönmez
  • Durmuş Dağhan
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Analytic Solutions of the Schamel-KdV Equation by Using Different Methods: Application to a Dusty Space Plasma

Öz

The wave properties in a dusty space plasma consisting of positively and negatively charged  dust as well as distributed nonisothermal electrons are investigated by using the exact traveling wave solutions of the Schamel-KdV equation. The analytic solutions are obtained by the  different types $(G'/G)$-expansion methods and direct integration. The nonlinear dynamics of ion-acoustic waves for the various values of phase speed $V_p$, plasma parameters  $\alpha$, $\sigma$, and $\sigma_d$,  and the source term $\mu$ are studied. We have observed different types of waves from the different analytic solutions obtained from the different methods. Consequently, we have found the discontinuity, shock or solitary waves. It is also concluded  that these parameters play an important role in the presence of solitary waves inside the plasma. Depending on plasma parameters, the discontinuity wave turns  into solitary wave solution for the  certain values of the phase speed and plasma parameters. Additionally, exact solutions of  the Schamel-KdV equation may also be used to understand the wave types and properties in the different plasma systems.

Anahtar Kelimeler

Kaynakça

  1. [1] Davidson, R.C. 1972. Methods in Nonlinear Plasma Theory. Academic Press, New York, NY, USA.
  2. [2] Whitham, G.B. 1974. Linear and NonlinearWaves, Pure and Applied Mathematics, John Wiley & Sons, New York, NY, USA.
  3. [3] Tagare, S.G., Chakrabarti, A. 1974. Solution of a generalized Korteweg-de Vries equation. Phys. Fluids, 17(1974), 1331.
  4. [4] Das, G.C., Tagare, S.G., Sarma, J. 1998. Quasipotential analysis for ion-acoustic solitary wave and double layers in plasmas. Planet. Space Sci., 46(4), 417.
  5. [5] Hassan, M.M. 2010. New Exact Solutions of Two Nonlinear Physical Models. Commun. Theor. Phys. (Beijing, China), 53, 596-604.
  6. [6] Lee, J., Sakthivel, R. 2011. Exact traveling wave solutions of the Schamel-Korteweg-de Vries equation. Reports on Mathematical Physics, 68(2), 153-161.
  7. [7] Schamel, H. 1972. Stationary Solitary, Snoidal and Sinusoidalion-acoustic Waves. Plasma Phys., 14, 905-924.
  8. [8] Schamel, H. 1973. A modified Korteweg-de Vries equation for ion-acoustic waves due to resonant electrons. Journal of Plasma Physics, 9(3), 377-387.

Ayrıntılar

Birincil Dil

Türkçe

Konular

-

Bölüm

-

Yazarlar

Orhan Dönmez Bu kişi benim

Durmuş Dağhan Bu kişi benim

Yayımlanma Tarihi

15 Nisan 2017

Gönderilme Tarihi

18 Eylül 2016

Kabul Tarihi

-

Yayımlandığı Sayı

Yıl 2017 Cilt: 21 Sayı: 1

Kaynak Göster

APA
Dönmez, O., & Dağhan, D. (2017). Analytic Solutions of the Schamel-KdV Equation by Using Different Methods: Application to a Dusty Space Plasma. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 21(1), 208-215. https://doi.org/10.19113/sdufbed.04724
AMA
1.Dönmez O, Dağhan D. Analytic Solutions of the Schamel-KdV Equation by Using Different Methods: Application to a Dusty Space Plasma. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 2017;21(1):208-215. doi:10.19113/sdufbed.04724
Chicago
Dönmez, Orhan, ve Durmuş Dağhan. 2017. “Analytic Solutions of the Schamel-KdV Equation by Using Different Methods: Application to a Dusty Space Plasma”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 21 (1): 208-15. https://doi.org/10.19113/sdufbed.04724.
EndNote
Dönmez O, Dağhan D (01 Nisan 2017) Analytic Solutions of the Schamel-KdV Equation by Using Different Methods: Application to a Dusty Space Plasma. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 21 1 208–215.
IEEE
[1]O. Dönmez ve D. Dağhan, “Analytic Solutions of the Schamel-KdV Equation by Using Different Methods: Application to a Dusty Space Plasma”, Süleyman Demirel Üniv. Fen Bilim. Enst. Derg., c. 21, sy 1, ss. 208–215, Nis. 2017, doi: 10.19113/sdufbed.04724.
ISNAD
Dönmez, Orhan - Dağhan, Durmuş. “Analytic Solutions of the Schamel-KdV Equation by Using Different Methods: Application to a Dusty Space Plasma”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 21/1 (01 Nisan 2017): 208-215. https://doi.org/10.19113/sdufbed.04724.
JAMA
1.Dönmez O, Dağhan D. Analytic Solutions of the Schamel-KdV Equation by Using Different Methods: Application to a Dusty Space Plasma. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 2017;21:208–215.
MLA
Dönmez, Orhan, ve Durmuş Dağhan. “Analytic Solutions of the Schamel-KdV Equation by Using Different Methods: Application to a Dusty Space Plasma”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, c. 21, sy 1, Nisan 2017, ss. 208-15, doi:10.19113/sdufbed.04724.
Vancouver
1.Orhan Dönmez, Durmuş Dağhan. Analytic Solutions of the Schamel-KdV Equation by Using Different Methods: Application to a Dusty Space Plasma. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 01 Nisan 2017;21(1):208-15. doi:10.19113/sdufbed.04724

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