title: Dynamics of vector dark solitons propagation and tunneling effect in the variable coefficient coupled nonlinear Schrödinger equation.
abstract: 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.
authors.affiliation: Department of Physics, Calicut University, Malappuram, Kerala 673635, India.
authors.forename: N M
authors.initials: NM
authors.lastname: Musammil
authors.affiliation: Department of Physics, Calicut University, Malappuram, Kerala 673635, India.
authors.forename: K
authors.initials: K
authors.lastname: Porsezian
authors.affiliation: Department of Physics, Farook College, Calicut University, Kerala 673632, India.
authors.forename: P A
authors.initials: PA
authors.lastname: Subha
authors.affiliation: Department of Physics, Pondicherry University, Puducherry 605014, India.
authors.forename: K
authors.identifier: 0000000255317668
authors.initials: K
authors.lastname: Nithyanandan