title: Traveling wave and soliton solutions of coupled nonlinear Schrödinger equations with harmonic potential and variable coefficients.
abstract: Exact traveling wave and soliton solutions, including the bright-bright and dark-dark soliton pairs, are found for the system of two coupled nonlinear Schrödinger equations with harmonic potential and variable coefficients, by employing the homogeneous balance principle and the F-expansion technique. A kind of shape-changing soliton collision is identified in the system. The collision is essentially elastic between the two solitons with opposite velocities. Our results demonstrate that the dynamics of solitons can be controlled by selecting the diffraction, nonlinearity, and gain coefficients.
authors.affiliation: Department of Electronic and Information Engineering, Shunde Polytechnic, Guangdong Province, Shunde 528300, China and Texas A&M University at Qatar, PO Box 23874, Doha, Qatar. zhongwp6@126.com
authors.forename: Wei-Ping
authors.initials: WP
authors.lastname: Zhong
authors.forename: Milivoj
authors.initials: M
authors.lastname: Belić