title: Two-dimensional solitons in conservative and parity-time-symmetric triple-core waveguides with cubic-quintic nonlinearity.
abstract: We analyze a system of three two-dimensional nonlinear Schrödinger equations coupled by linear terms and with the cubic-quintic (focusing-defocusing) nonlinearity. We consider two versions of the model: conservative and parity-time (PT) symmetric. These models describe triple-core nonlinear optical waveguides, with balanced gain and losses in the PT-symmetric case. We obtain families of soliton solutions and discuss their stability. The latter study is performed using a linear stability analysis and checked with direct numerical simulations of the evolutional system of equations. Stable solitons are found in the conservative and PT-symmetric cases. Interactions and collisions between the conservative and PT-symmetric solitons are briefly investigated, as well.
authors.affiliation: Área de Óptica, Facultade de Ciencias de Ourense, Universidade de Vigo, As Lagoas s/n, Ourense ES-32004, Spain.
authors.forename: David
authors.initials: D
authors.lastname: Feijoo
authors.affiliation: Centro de Física Teórica e Computacional and Departamento de Física, Faculdade de Ciências da Universidade de Lisboa, Campo Grande, Edifício C8, Lisboa P-1749-016, Portugal.
authors.forename: Dmitry A
authors.initials: DA
authors.lastname: Zezyulin
authors.affiliation: Centro de Física Teórica e Computacional and Departamento de Física, Faculdade de Ciências da Universidade de Lisboa, Campo Grande, Edifício C8, Lisboa P-1749-016, Portugal.
authors.forename: Vladimir V
authors.initials: VV
authors.lastname: Konotop