title: Generalized dark-bright vector soliton solution to the mixed coupled nonlinear Schrödinger equations.
abstract: We have constructed a dark-bright N-soliton solution with 4N+3 real parameters for the physically interesting system of mixed coupled nonlinear Schrödinger equations. Using this as well as an asymptotic analysis we have investigated the interaction between dark-bright vector solitons. Each colliding dark-bright one-soliton at the asymptotic limits includes more coupling parameters not only in the polarization vector but also in the amplitude part. Our present solution generalizes the dark-bright soliton in the literature with parametric constraints. By exploiting the role of such coupling parameters we are able to control certain interaction effects, namely beating, breathing, bouncing, attraction, jumping, etc., without affecting other soliton parameters. Particularly, the results of the interactions between the bound state dark-bright vector solitons reveal oscillations in their amplitudes under certain parametric choices. A similar kind of effect was also observed experimentally in the BECs. We have also characterized the solutions with complicated structure and nonobvious wrinkle to define polarization vector, envelope speed, envelope width, envelope amplitude, grayness, and complex modulation. It is interesting to identify that the polarization vector of the dark-bright one-soliton evolves on a spherical surface instead of a hyperboloid surface as in the bright-bright case of the mixed coupled nonlinear Schrödinger equations.
authors.affiliation: Mount Zion College of Engineering and Technology, Pudukkottai - 622 507, Tamilnadu, India.
authors.forename: N
authors.initials: N
authors.lastname: Manikandan
authors.affiliation: P. G. and Research Department of Physics, Jamal Mohamed College (Autonomous), Tiruchirappalli - 620 020, Tamilnadu, India.
authors.forename: R
authors.initials: R
authors.lastname: Radhakrishnan
authors.affiliation: Angel College of Engineering and Technology, Tirupur - 641 665, Tamilnadu, India.
authors.forename: K
authors.initials: K
authors.lastname: Aravinthan
mesh_terms: D008962:Models, Theoretical; D009038:Motion; D017711:Nonlinear Dynamics; D011789:Quantum Theory