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The Dynamics of Thirring Optical Solitons by Kerr Law Nonlinearity

Year 2017, Volume: 7 Issue: 2, 199 - 206, 30.06.2017

Abstract

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



References

  • 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

Year 2017, Volume: 7 Issue: 2, 199 - 206, 30.06.2017

Abstract

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


References

  • 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.
There are 11 citations in total.

Details

Primary Language English
Journal Section Matematik / Mathematics
Authors

Ebru Cavlak Aslan

Publication Date June 30, 2017
Submission Date October 18, 2016
Acceptance Date November 28, 2016
Published in Issue Year 2017 Volume: 7 Issue: 2

Cite

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. J. Inst. Sci. and Tech. June 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, no. 2 (June 2017): 199-206.
EndNote Cavlak Aslan E (June 1, 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”, J. Inst. Sci. and Tech., vol. 7, no. 2, pp. 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 (June 2017), 199-206.
JAMA Cavlak Aslan E. The Dynamics of Thirring Optical Solitons by Kerr Law Nonlinearity. J. Inst. Sci. and Tech. 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, vol. 7, no. 2, 2017, pp. 199-06.
Vancouver Cavlak Aslan E. The Dynamics of Thirring Optical Solitons by Kerr Law Nonlinearity. J. Inst. Sci. and Tech. 2017;7(2):199-206.