title: Vector bright solitons associated with positive coherent coupling via Darboux transformation.
abstract: Describing coherently coupled and orthogonally polarized waveguide modes in the Kerr medium, vector bright solitons associated with positive coherent coupling are studied in this paper. Some conserved quantities and infinitely many conservation laws are computed, and the existence of Lax pair indicates the integrability of the two-coupled nonlinear Schrödinger system with positive coherent coupling. Performing the iterative algorithm of Darboux transformation, we present formulas of one-, two-, and even N-soliton solutions. With appropriate choices of the phase parameters, collision mechanisms of vector bright solitons (of single-hump, double-hump, or flat-top profiles) are displayed, which show the elastic collision under the combined influences of group velocity dispersion, self-phase modulation, cross-phase modulation, and positive coherent coupling.
authors.affiliation: Department of Mathematics, Beijing Jiao Tong University, Beijing 100044, China.
authors.forename: Xing
authors.initials: X
authors.lastname: Lü
authors.affiliation: School of Mathematics, South China University of Technology, Guangzhou 510640, China.
authors.forename: Liming
authors.initials: L
authors.lastname: Ling