Staggered and moving localized modes in dynamical lattices with the cubic-quintic nonlinearity
Апстракт
Results of a comprehensive dynamical analysis are reported for several fundamental species of bright solitons in the one-dimensional lattice modeled by the discrete nonlinear Schrodinger equation with the cubic-quintic nonlinearity. Staggered solitons, which were not previously considered in this model, are studied numerically, through the computation of the eigenvalue spectrum for modes of small perturbations, and analytically, by means of the variational approximation. The numerical results confirm the analytical predictions. The mobility of discrete solitons is studied by means of direct simulations, and semianalytically, in the framework of the Peierls-Nabarro barrier, which is introduced in terms of two different concepts, free energy and mapping analysis. It is found that persistently moving localized modes may only be of the unstaggered type.
Извор:
Physical Review E, 2008, 77, 3
DOI: 10.1103/PhysRevE.77.036604
ISSN: 2470-0045; 2470-0053
PubMed: 18517540
WoS: 000254539900094
Scopus: 2-s2.0-40949089607
Колекције
Институција/група
VinčaTY - JOUR AU - Maluckov, Aleksandra AU - Hadžievski, Ljupčo AU - Malomed, Boris A. PY - 2008 UR - https://vinar.vin.bg.ac.rs/handle/123456789/3398 AB - Results of a comprehensive dynamical analysis are reported for several fundamental species of bright solitons in the one-dimensional lattice modeled by the discrete nonlinear Schrodinger equation with the cubic-quintic nonlinearity. Staggered solitons, which were not previously considered in this model, are studied numerically, through the computation of the eigenvalue spectrum for modes of small perturbations, and analytically, by means of the variational approximation. The numerical results confirm the analytical predictions. The mobility of discrete solitons is studied by means of direct simulations, and semianalytically, in the framework of the Peierls-Nabarro barrier, which is introduced in terms of two different concepts, free energy and mapping analysis. It is found that persistently moving localized modes may only be of the unstaggered type. T2 - Physical Review E T1 - Staggered and moving localized modes in dynamical lattices with the cubic-quintic nonlinearity VL - 77 IS - 3 DO - 10.1103/PhysRevE.77.036604 ER -
@article{ author = "Maluckov, Aleksandra and Hadžievski, Ljupčo and Malomed, Boris A.", year = "2008", abstract = "Results of a comprehensive dynamical analysis are reported for several fundamental species of bright solitons in the one-dimensional lattice modeled by the discrete nonlinear Schrodinger equation with the cubic-quintic nonlinearity. Staggered solitons, which were not previously considered in this model, are studied numerically, through the computation of the eigenvalue spectrum for modes of small perturbations, and analytically, by means of the variational approximation. The numerical results confirm the analytical predictions. The mobility of discrete solitons is studied by means of direct simulations, and semianalytically, in the framework of the Peierls-Nabarro barrier, which is introduced in terms of two different concepts, free energy and mapping analysis. It is found that persistently moving localized modes may only be of the unstaggered type.", journal = "Physical Review E", title = "Staggered and moving localized modes in dynamical lattices with the cubic-quintic nonlinearity", volume = "77", number = "3", doi = "10.1103/PhysRevE.77.036604" }
Maluckov, A., Hadžievski, L.,& Malomed, B. A.. (2008). Staggered and moving localized modes in dynamical lattices with the cubic-quintic nonlinearity. in Physical Review E, 77(3). https://doi.org/10.1103/PhysRevE.77.036604
Maluckov A, Hadžievski L, Malomed BA. Staggered and moving localized modes in dynamical lattices with the cubic-quintic nonlinearity. in Physical Review E. 2008;77(3). doi:10.1103/PhysRevE.77.036604 .
Maluckov, Aleksandra, Hadžievski, Ljupčo, Malomed, Boris A., "Staggered and moving localized modes in dynamical lattices with the cubic-quintic nonlinearity" in Physical Review E, 77, no. 3 (2008), https://doi.org/10.1103/PhysRevE.77.036604 . .