https://doi.org/10.1140/epjp/i2015-15138-9
Regular Article
Analytical study of Thirring optical solitons with parabolic law nonlinearity and spatio-temporal dispersion
1
School of Electronics and Information Engineering, Wuhan Donghu University, 430212, Wuhan, P.R. China
2
Department of Mathematical Sciences, Delaware State University, 19901-2277, Dover, DE, USA
3
Department of Mathematics, Faculty of Science, King Abdulaziz University, 21589, Jeddah, Saudi Arabia
* e-mail: qinzhou@whu.edu.cn
Received:
13
December
2014
Revised:
13
December
2014
Accepted:
30
June
2015
Published online:
21
July
2015
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.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2015