2003/06/10 by F. Kh. Abdullaev, B. B. Baizakov, M. Salerno +1 · 2 citations
Physics and Astronomy · #Advanced Fiber Laser Technologies #Cold Atom Physics and Bose-Einstein Condensates #Nonlinear Photonic Systems #cond-mat.soft #nlin.PS
paper · pdf · doi:10.1103/physreve.68.066605
published as Phys. Rev. E 68, 066605 (2003). · 4 pages, 3 figures, Submitted to Phys. Rev. E
arxiv created 2003/06/10 · openalex publication_date 2003/12/15 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.