Abstract
This paper presents for the first time an analytic study on Thirring optical solitons in birefringent fibers with parabolic law nonlinearity and spatio-temporal dispersion. The dynamical model for the propagation of Thirring optical solitons is given by the vector coupled nonlinear Schrödinger equation, which is investigated analytically using two different ways. These algorithms, that are the traveling wave hypothesis and the P6 model scheme are employed to obtain bright, dark as well as singular solitons. The integrability conditions are also exhibited.
Similar content being viewed by others
References
A.R. Champneys, B.A. Malomed, M.J. Friedman, Phys. Rev. Lett. 80, 4169 (1998).
Q. Zhou, Q. Zhu, Y. Liu, H. Yu, P. Yao, A. Biswas, Laser Phys. 25, 015402 (2015).
A. Biswas, A.H. Bhrawy, A.A. Alshaery, E.M. Hilal, Optik 125, 4932 (2014).
L. Girgis, D. Milovic, S. Konar, A. Yildirim, H. Jafari, A. Biswas, Rom. Rep. Phys. 64, 663 (2012).
I. Friedler, G. Kurizki, O. Cohen, M. Segev, Opt. Lett. 30, 3374 (2005).
S. Prasad, R.K. Sarkar, A. Srivastava, S. Medhekar, J. Electromagn. Waves Appl. 25, 923 (2011).
J. Vega-Guzman, E.M. Hilal, A.A. Alshaery, A.H. Bhrawy, M.F. Mahmood, L. Moraru, A. Biswas, Proc. Rom. Acad., Ser. A 16, 41 (2015).
S. Kumar, K. Singh, R.K. Gupta, Pramana 79, 41 (2012).
M. Savescu, E.M. Hilal, A.A. Alshaery, A.H. Bhrawy, L. Moraru, A. Biswas, J. Optoelectron. Adv. Mater. 16, 619 (2014).
X. Geng, Y. Lv, Nonlinear Dyn. 69, 1621 (2012).
A. Biswas, S. Konar, Introduction to Non-Kerr Law Optical Solitons (CRC Press, 2006).
A.H. Bhrawy, A.A. Alshaery, E.M. Hilal, W.N. Manrakhan, M. Savescu, A. Biswas, J. Nonlinear Opt. Phys. Mater. 23, 1450014 (2014).
Y. Xu, Z. Jovanoski, A. Bouasla, H. Triki, L. Moraru, A. Biswas, J. Nonlinear Opt. Phys. Mater. 22, 1350035 (2013).
Q. Zhou, D. Yao, F. Chen, J. Mod. Opt. 60, 1652 (2013).
H. Xu, P.G. Kevrekidis, Q. Zhou, D.J. Frantzeskakis, V. Achilleos, R. Carretero-Gonzalez, Rom. J. Phys. 59, 185 (2014).
M. Jia, S.Y. Lou, Phys. Lett. A 353, 407 (2006).
A. Biswas, M. Fessak, S. Johnson, S. Beatrice, D. Milovic, Z. Jovanoski, R. Kohl, F. Majid, Opt. Laser Technol. 44, 263 (2012).
A. Constantin, L. Molinet, Physica D: Nonlinear Phenom. 157, 75 (2001).
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Zhou, Q., Liu, L., Zhang, H. et al. Analytical study of Thirring optical solitons with parabolic law nonlinearity and spatio-temporal dispersion. Eur. Phys. J. Plus 130, 138 (2015). https://doi.org/10.1140/epjp/i2015-15138-9
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1140/epjp/i2015-15138-9