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Investigation of Exact Solutions of Perturbed Nonlinear Schrödinger's Equation by $\exp\left(-\Phi\left(\xi\right)\right)$-Expansion Method

Yıl 2017, Cilt: 21 Sayı: 2, 373 - 379, 03.07.2017

Mehmet Ekici

Öz

This paper presents an analytic study on optical solitons of a perturbed nonlinear Schr\"{o}dinger's equation (NLSE). An integration tool that is the $\exp\left(-\Phi\left(\xi\right\right)$-expansion approach is used to find exact solutions. As a consequence, hyperbolic, trigonometric and rational function solutions are extracted by this approach.

Anahtar Kelimeler

Solitons Perturbed nonlinear Schrödinger's equation; The $\exp\left[-\Phi\left(\xi\right)\right]$-expansion approach

Kaynakça

  • [1] Zhou, Q., Liu, L., Liu, Y., Yu, H., Yao, P., Wei, C., Zhang, H., 2015. Exact optical solitons in metamaterials with cubic-quintic nonlinearity and third-order dispersion. Nonlinear Dynamics 80(3), 1365-1371.
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  • [5] Saha, M., Sarma, A.K., 2013. Modulation instability in nonlinear metamaterials induced by cubic-quintic nonlinearities and higher order dispersive effects. Optics Communications 291, 321-325.
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  • [12] He, J.H., 2004. Variational principles for some nonlinear partial differential equations with variable coefficients. Chaos, Solitons and Fractals 19, 847-851.
  • [13] Abassy, T.A., El-Tawil, M.A., Saleh, H.K., 2004. The solution of KdV and mKdV equations using Adomian Pade approximation. International Journal of Nonlinear Sciences and Numerical Simulation 5, 327-340.
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  • [15] Wang, M.L., 1995. Solitary wave solutions for variant Boussinesq equations. Physics Letters A 199, 169-172.
  • [16] Ablowitz, M.J., Clarkson, P.A., 1991. Solitons: Nonlinear Evolution Equations and Inverse Scattering. Cambridge University Press, Cambridge.
  • [17] Liu, S.K., Fu, Z.T., Liu, S.D., Zhao, Q., 2001. Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations. Physics Letters A 289, 69-74.
  • [18] Tascan, F., Bekir, A., 2009. Analytic solutions of the (2+1)-dimensional nonlinear evolution equations using the sine-cosine method. Applied Mathematics and Computation 215, 3134-3139.
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  • [20] Manafian, J., Lakestani, M., Bekir, A., 2016. Study of the analytical treatment of the (2+1)-dimensional Zoomeron, the Duffing and the SRLW equations via a new analytical approach. International Journal of Applied and Computational Mathematics 2(2), 243-268.
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Toplam 23 adet kaynakça vardır.

Ayrıntılar

Bölüm Makaleler
Yazarlar

Mehmet Ekici Bu kişi benim

Yayımlanma Tarihi 3 Temmuz 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 21 Sayı: 2

Kaynak Göster

APA Ekici, M. (2017). Investigation of Exact Solutions of Perturbed Nonlinear Schrödinger’s Equation by $\exp\left(-\Phi\left(\xi\right)\right)$-Expansion Method. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 21(2), 373-379. https://doi.org/10.19113/sdufbed.70927
AMA Ekici M. Investigation of Exact Solutions of Perturbed Nonlinear Schrödinger’s Equation by $\exp\left(-\Phi\left(\xi\right)\right)$-Expansion Method. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. Ağustos 2017;21(2):373-379. doi:10.19113/sdufbed.70927
Chicago Ekici, Mehmet. “Investigation of Exact Solutions of Perturbed Nonlinear Schrödinger’s Equation by $\exp\left(-\Phi\left(\xi\right)\right)$-Expansion Method”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 21, sy. 2 (Ağustos 2017): 373-79. https://doi.org/10.19113/sdufbed.70927.
EndNote Ekici M (01 Ağustos 2017) Investigation of Exact Solutions of Perturbed Nonlinear Schrödinger’s Equation by $\exp\left(-\Phi\left(\xi\right)\right)$-Expansion Method. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 21 2 373–379.
IEEE M. Ekici, “Investigation of Exact Solutions of Perturbed Nonlinear Schrödinger’s Equation by $\exp\left(-\Phi\left(\xi\right)\right)$-Expansion Method”, Süleyman Demirel Üniv. Fen Bilim. Enst. Derg., c. 21, sy. 2, ss. 373–379, 2017, doi: 10.19113/sdufbed.70927.
ISNAD Ekici, Mehmet. “Investigation of Exact Solutions of Perturbed Nonlinear Schrödinger’s Equation by $\exp\left(-\Phi\left(\xi\right)\right)$-Expansion Method”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi 21/2 (Ağustos 2017), 373-379. https://doi.org/10.19113/sdufbed.70927.
JAMA Ekici M. Investigation of Exact Solutions of Perturbed Nonlinear Schrödinger’s Equation by $\exp\left(-\Phi\left(\xi\right)\right)$-Expansion Method. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 2017;21:373–379.
MLA Ekici, Mehmet. “Investigation of Exact Solutions of Perturbed Nonlinear Schrödinger’s Equation by $\exp\left(-\Phi\left(\xi\right)\right)$-Expansion Method”. Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi, c. 21, sy. 2, 2017, ss. 373-9, doi:10.19113/sdufbed.70927.
Vancouver Ekici M. Investigation of Exact Solutions of Perturbed Nonlinear Schrödinger’s Equation by $\exp\left(-\Phi\left(\xi\right)\right)$-Expansion Method. Süleyman Demirel Üniv. Fen Bilim. Enst. Derg. 2017;21(2):373-9.
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e-ISSN :1308-6529
Linking ISSN (ISSN-L): 1300-7688

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