title: Dissipative periodic waves, solitons, and breathers of the nonlinear Schrödinger equation with complex potentials.
abstract: Exact solutions for the generalized nonlinear Schrödinger equation with inhomogeneous complex linear and nonlinear potentials are found. We have found localized and periodic solutions for a wide class of localized and periodic modulations in the space of complex potentials and nonlinearity coefficients. Examples of stable and unstable solutions are given. We also demonstrated numerically the existence of stable dissipative breathers in the presence of an additional parabolic trap.
authors.affiliation: Centro de Física Teórica e Computacional, Faculdade de Ciências, Universidade de Lisboa, Avenida Professor Gama Pinto 2, Lisboa 1649-003, Portugal.
authors.forename: F Kh
authors.initials: FKh
authors.lastname: Abdullaev
authors.forename: V V
authors.initials: VV
authors.lastname: Konotop
authors.forename: M
authors.initials: M
authors.lastname: Salerno
authors.forename: A V
authors.initials: AV
authors.lastname: Yulin