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The Dynamics of Thirring Optical Solitons by Kerr Law Nonlinearity

Yıl 2017, Cilt: 7 Sayı: 2, 199 - 206, 30.06.2017

Öz

This article studies the dynamics of thirring optical solitons. Jacobi elliptic functions is considered
for exact solutions and nonlinearship is described by Kerr law. As a result, the singular solutions with Dark and
Bright optical solitons are obtained



Kaynakça

  • Agarwal P, Ray A, Chowdhury AR, 2015. Properties of Optical Soliton in a Three Level Medium with Quantic Nonlinearity. International Journal of Physics, 3(2): 45-51.
  • Biswas A, 2010. Solitary waves for power-law regularized long-wave equation and R(m,n) equation. Nonlinear Dynamics, 59(3): 423-426.
  • Biswas A, 2009. Solitary wave solution for KdV equation with power-law nonlinearity and time-dependent coefficients. Nonlinear Dynamics, 58(1-2): 345-348.
  • Biswas A, Kara AH, Bokhari AH, Zaman FD, 2013. Solitons and conservation laws of Klein-Gordon equation with power law and log law nonlinearities. Nonlinear Dynamics, 73(4): 2191-2196.
  • Guzman JV, Hilal EM, Alshaery AA, Bhrawy AH, Mahmood MF, Moraru L, Biswas A, 2015. Thirring Optical Solitons with Spatio-Temporal Dispersion. Proceedings of The Romanian Academy Series A, 16(1): 41-46.
  • Kivshar YS, Agrawal GP, 2003. Optical Solitons. Academic Press, USA.
  • Krishnan EV, Gabshi MA, Mirzazadeh M, Bhrawy A, Biswas A, Belic M, 2015. Optical Solitons for Quadratic Law Nonlinearity with Five Integration Schemes. Journal of Computational and Theoretical Nanoscience, 12(11): 4809 – 4821.
  • Mirzazadeh M, Arnous AH, Mahmood MF, Zerrad E, Biswas, A, 2015. Soliton solutions to resonant nonlinear Schrödinger’s equation with time-dependent coefficients by trial solution approach. Nonlinear Dynamics, 81(1-2): 277-282.
  • Sassaman R, Biswas A, 2010. Topological and non-topological solitons of the Klein–Gordon equations in 1+2 dimensions. Nonlinear Dynamics, 61(1-2): 23-28. Sardar A, Ali K, Rizvi STR, Younis M, Zhou Q, Zerrad E, Biswas A, Bahrawy A, 2016. Dispersive optica Solitons in Nanofibers with Schrödinger-Hirota Equation. Journal of Nanoelectronics and Optoelectronics, 11(3): 382-387.
  • Tang D, Guo J, Song Y, Zhang H, Zhao L, Shen D, 2014. Dark Soliton Fiber Lasers. Optics Express, 22(16): 19831-19837.
  • Zakharov VE, Shabat AB, 1972. Exact Theory of Two-Dimensional Self-Focusing and One- Dimensional Self- Modulation of Waves in Nonlinear Media. Soviet Physics-Jetp, 34(1): 62-69.

Kerr Law Lineer Olmayanlık ile Thirring Optikal Solitonların Dinamikleri

Yıl 2017, Cilt: 7 Sayı: 2, 199 - 206, 30.06.2017

Öz

Bu makalede Thirring optikal solitonların dinamiği çalışıldı. Tam çözümler için Jacobi eliptik fonksiyonlar düşünüldü ve lineer olmayanlık Kerr law ile tanımlandı. Sonuçta, Dark ve Bright optikal solitonlar ile tekil çözümler elde edildi


Kaynakça

  • Agarwal P, Ray A, Chowdhury AR, 2015. Properties of Optical Soliton in a Three Level Medium with Quantic Nonlinearity. International Journal of Physics, 3(2): 45-51.
  • Biswas A, 2010. Solitary waves for power-law regularized long-wave equation and R(m,n) equation. Nonlinear Dynamics, 59(3): 423-426.
  • Biswas A, 2009. Solitary wave solution for KdV equation with power-law nonlinearity and time-dependent coefficients. Nonlinear Dynamics, 58(1-2): 345-348.
  • Biswas A, Kara AH, Bokhari AH, Zaman FD, 2013. Solitons and conservation laws of Klein-Gordon equation with power law and log law nonlinearities. Nonlinear Dynamics, 73(4): 2191-2196.
  • Guzman JV, Hilal EM, Alshaery AA, Bhrawy AH, Mahmood MF, Moraru L, Biswas A, 2015. Thirring Optical Solitons with Spatio-Temporal Dispersion. Proceedings of The Romanian Academy Series A, 16(1): 41-46.
  • Kivshar YS, Agrawal GP, 2003. Optical Solitons. Academic Press, USA.
  • Krishnan EV, Gabshi MA, Mirzazadeh M, Bhrawy A, Biswas A, Belic M, 2015. Optical Solitons for Quadratic Law Nonlinearity with Five Integration Schemes. Journal of Computational and Theoretical Nanoscience, 12(11): 4809 – 4821.
  • Mirzazadeh M, Arnous AH, Mahmood MF, Zerrad E, Biswas, A, 2015. Soliton solutions to resonant nonlinear Schrödinger’s equation with time-dependent coefficients by trial solution approach. Nonlinear Dynamics, 81(1-2): 277-282.
  • Sassaman R, Biswas A, 2010. Topological and non-topological solitons of the Klein–Gordon equations in 1+2 dimensions. Nonlinear Dynamics, 61(1-2): 23-28. Sardar A, Ali K, Rizvi STR, Younis M, Zhou Q, Zerrad E, Biswas A, Bahrawy A, 2016. Dispersive optica Solitons in Nanofibers with Schrödinger-Hirota Equation. Journal of Nanoelectronics and Optoelectronics, 11(3): 382-387.
  • Tang D, Guo J, Song Y, Zhang H, Zhao L, Shen D, 2014. Dark Soliton Fiber Lasers. Optics Express, 22(16): 19831-19837.
  • Zakharov VE, Shabat AB, 1972. Exact Theory of Two-Dimensional Self-Focusing and One- Dimensional Self- Modulation of Waves in Nonlinear Media. Soviet Physics-Jetp, 34(1): 62-69.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Matematik / Mathematics
Yazarlar

Ebru Cavlak Aslan

Yayımlanma Tarihi 30 Haziran 2017
Gönderilme Tarihi 18 Ekim 2016
Kabul Tarihi 28 Kasım 2016
Yayımlandığı Sayı Yıl 2017 Cilt: 7 Sayı: 2

Kaynak Göster

APA Cavlak Aslan, E. (2017). The Dynamics of Thirring Optical Solitons by Kerr Law Nonlinearity. Journal of the Institute of Science and Technology, 7(2), 199-206.
AMA Cavlak Aslan E. The Dynamics of Thirring Optical Solitons by Kerr Law Nonlinearity. Iğdır Üniv. Fen Bil Enst. Der. Haziran 2017;7(2):199-206.
Chicago Cavlak Aslan, Ebru. “The Dynamics of Thirring Optical Solitons by Kerr Law Nonlinearity”. Journal of the Institute of Science and Technology 7, sy. 2 (Haziran 2017): 199-206.
EndNote Cavlak Aslan E (01 Haziran 2017) The Dynamics of Thirring Optical Solitons by Kerr Law Nonlinearity. Journal of the Institute of Science and Technology 7 2 199–206.
IEEE E. Cavlak Aslan, “The Dynamics of Thirring Optical Solitons by Kerr Law Nonlinearity”, Iğdır Üniv. Fen Bil Enst. Der., c. 7, sy. 2, ss. 199–206, 2017.
ISNAD Cavlak Aslan, Ebru. “The Dynamics of Thirring Optical Solitons by Kerr Law Nonlinearity”. Journal of the Institute of Science and Technology 7/2 (Haziran 2017), 199-206.
JAMA Cavlak Aslan E. The Dynamics of Thirring Optical Solitons by Kerr Law Nonlinearity. Iğdır Üniv. Fen Bil Enst. Der. 2017;7:199–206.
MLA Cavlak Aslan, Ebru. “The Dynamics of Thirring Optical Solitons by Kerr Law Nonlinearity”. Journal of the Institute of Science and Technology, c. 7, sy. 2, 2017, ss. 199-06.
Vancouver Cavlak Aslan E. The Dynamics of Thirring Optical Solitons by Kerr Law Nonlinearity. Iğdır Üniv. Fen Bil Enst. Der. 2017;7(2):199-206.