title: Soliton dynamics at an interface between a uniform medium and a nonlinear optical lattice.
abstract: We study trapping and propagation of a matter-wave soliton through the interface between uniform medium and a nonlinear optical lattice. Different regimes for transmission of a broad and a narrow solitons are investigated. Reflections and transmissions of solitons are predicted as a function of the lattice phase. The existence of a threshold in the amplitude of the nonlinear optical lattice, separating the transmission and reflection regimes, is verified. The localized nonlinear surface state, corresponding to the soliton trapped by the interface, is found. Variational approach predictions are confirmed by numerical simulations for the original Gross-Pitaevskii equation with nonlinear periodic potentials.
authors.affiliation: Physical-Technical Institute of the Academy of Sciences, G. Mavlyanov Street 2-b, 100084 Tashkent, Uzbekistan. fatkhulla@yahoo.com
authors.forename: Fatkhulla Kh
authors.initials: FKh
authors.lastname: Abdullaev
authors.forename: Ravil M
authors.initials: RM
authors.lastname: Galimzyanov
authors.forename: Marijana
authors.initials: M
authors.lastname: Brtka
authors.forename: Lauro
authors.initials: L
authors.lastname: Tomio