Eur. Phys. J. D (2015) 69: 171
https://doi.org/10.1140/epjd/e2015-60092-9

Regular Article

Soliton beam dynamics in parity-time symmetric nonlinear coupler

¹ Department of Physics, University of Calicut, Kerala, India
² Department of Physics, Farook College, University of Calicut, Kerala, India

^a e-mail: muhsina.mtl@gmail.com

Received: 12 February 2015
Received in final form: 12 May 2015
Published online: 14 July 2015

Abstract

This work analyzes the propagation of soliton beam in (1 + 1) D dimensional Parity-Time (𝒫𝒯) symmetric linear and nonlinear coupled systems. The beam dynamics in the coupled systems has been studied variationally and numerically. The beam propagation is stable when the gain/loss coefficient is less than or equal to the coupling constant. Above the phase transition point, the eigen modes become complex, which result in unstable beam propagation. The stability of the solution against small perturbation has been analyzed using linear stability analysis.