title: Modulation of localized solutions in a system of two coupled nonlinear Schrödinger equations.
abstract: In this work we study localized solutions of a system of two coupled nonlinear Schrödinger equations, with the linear (potential) and nonlinear coefficients engendering spatial and temporal dependencies. Similarity transformations are used to convert the nonautonomous coupled equations into autonomous ones and we use the trial orbit method to help us solving them, presenting solutions in a general way. Numerical experiments are then used to verify the stability of the localized solutions.
authors.affiliation: Instituto de Física, Universidade Federal de Goiás, Goiânia, Goiás, Brazil.
authors.forename: W B
authors.initials: WB
authors.lastname: Cardoso
authors.forename: A T
authors.initials: AT
authors.lastname: Avelar
authors.forename: D
authors.initials: D
authors.lastname: Bazeia
mesh_terms: D000465:Algorithms; D004574:Electromagnetic Fields; D015233:Models, Statistical; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D055095:Optics and Photonics / Q000379:methods; D010825:Physics / Q000379:methods*; D013997:Time Factors