Dynamics of vector dark solitons propagation and tunneling effect in the variable coefficient coupled nonlinear Schrödinger equation.

Autor: Musammil NM; Department of Physics, Calicut University, Malappuram, Kerala 673635, India., Porsezian K; Department of Physics, Calicut University, Malappuram, Kerala 673635, India., Subha PA; Department of Physics, Farook College, Calicut University, Kerala 673632, India., Nithyanandan K; Department of Physics, Pondicherry University, Puducherry 605014, India.
Jazyk: angličtina
Zdroj: Chaos (Woodbury, N.Y.) [Chaos] 2017 Feb; Vol. 27 (2), pp. 023113.
DOI: 10.1063/1.4976514
Abstrakt: We investigate the dynamics of vector dark solitons propagation using variable coefficient coupled nonlinear Schrödinger (Vc-CNLS) equation. The dark soliton propagation and evolution dynamics in the inhomogeneous system are studied analytically by employing the Hirota bilinear method. It is apparent from our asymptotic analysis that the collision between the dark solitons is elastic in nature. The various inhomogeneous effects on the evolution and interaction between dark solitons are explored, with a particular emphasis on nonlinear tunneling. It is found that the tunneling of the soliton depends on a condition related to the height of the barrier and the amplitude of the soliton. The intensity of the tunneling soliton either forms a peak or a valley, thus retaining its shape after tunneling. For the case of exponential background, the soliton tends to compress after tunneling through the barrier/well. Thus, a comprehensive study of dark soliton pulse evolution and propagation dynamics in Vc-CNLS equation is presented in the paper.
Databáze: MEDLINE