Stable two-dimensional dispersion-managed soliton
F. Kh. AbdullaevInstituto de Fisica Teorica, UNESP, Rua Pamplona 145, 01405-900 Sao Paulo, Brazil. [email protected]B. B. BaizakovDipartimento di Fisica “ Eduardo R. Caianiello” and Istituto Nazionale di Fisica della Materia (INFM), Universitá di Salerno, I-84081 Baronissi (SA), ItalyMario SalernoDipartimento di Fisica “ Eduardo R. Caianiello” and Istituto Nazionale di Fisica della Materia (INFM), Universitá di Salerno, I-84081 Baronissi (SA), Italy
Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topicsjournal2003en
ABI
Abstract
The existence of a dispersion-managed soliton in two-dimensional nonlinear Schrödinger equation with periodically varying dispersion has been explored. The averaged equations for the soliton width and chirp are obtained which successfully describe the long time evolution of the soliton. The slow dynamics of the soliton around the fixed points for the width and chirp are investigated and the corresponding frequencies are calculated. Analytical predictions are confirmed by direct partial differential equation (PDE) and ordinary differential equation (ODE) simulations. Application to a Bose-Einstein condensate in optical lattice is discussed. The existence of a dispersion-managed matter-wave soliton in such system is shown.
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