Dissipative periodic waves, solitons, and breathers of the nonlinear Schrödinger equation with complex potentials
F. Kh. AbdullaevCentro de Física Teórica e Computacional, Faculdade de Ciências, Universidade de Lisboa, Avenida Professor Gama Pinto 2, Lisboa 1649-003, PortugalV. V. KonotopCentro de Física Teórica e Computacional, Faculdade de Ciências, Universidade de Lisboa, Avenida Professor Gama Pinto 2, Lisboa 1649-003, PortugalMario SalernoDipartimento di Fisica “E.R. Caianiello,” CNISM and INFN-Gruppo Collegato di Salerno, Università di Salerno, Via Ponte don Melillo, 84084 Fisciano (SA), ItalyA. V. YulinCentro de Física Teórica e Computacional, Faculdade de Ciências, Universidade de Lisboa, Avenida Professor Gama Pinto 2, Lisboa 1649-003, Portugal
ABI
Аннотация
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.
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Цитирования и источники
Показатели — AkademScholar · Скоро