title: Stable radiating gap solitons and their resonant interactions with dispersive waves in systems with a parametric pump.
abstract: We study the formation of gap solitons in the presence of a parametric pump. It is shown that a parametric pump can stabilize stationary solitons continuously emitting dispersive waves. The resonant interactions of the radiation and the solitons are studied and it is shown that the solitons can be effectively controlled by the radiation. In particular it is shown that the solitons can collide or get pinned to inhomogeneities due to the interactions mediated by the resonant radiation.
authors.affiliation: Centro de Física Teórica e Computacional, Av. Prof. Gama Pinto, 2, 1649-003 Lisboa, Portugal and ITMO University 197101, Kronverksky pr. 49, St. Petersburg, Russian Federation.
authors.forename: Alexey V
authors.initials: AV
authors.lastname: Yulin
authors.affiliation: Centro de Física Teórica e Computacional, Av. Prof. Gama Pinto, 2, 1649-003 Lisboa, Portugal.
authors.forename: Leonardo R
authors.initials: LR
authors.lastname: Gorjão
authors.affiliation: ICREA and Departament de Física i Enginyeria Nuclear, Universitat Politècnica de Catalunya, Colom 11, 08222 Barcelona, Spain.
authors.forename: Kestutis
authors.initials: K
authors.lastname: Staliunas