Eur. Phys. J. Plus (2015) 130: 138
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

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.