Modulation instability in two-dimensional nonlinear Schrodinger lattice models with dispersion and long-range interactions
Апстракт
The problem of modulation instability of continuous wave and array soliton solutions within the framework of a two-dimensional continuum-discrete nonlinear Schrodinger lattice model, which accounts for dispersion and long-range interactions between elements, is investigated. The linear stability analysis based on an energy principle and a variational approach, which were originally developed for the continuum nonlinear Schrodinger model, is proposed. Regions of instability are identified and analytical expressions for the corresponding thresholds and the growth rate spectra are calculated.
Извор:
Physical Review B: Condensed Matter and Materials Physics, 2003, 68, 1
DOI: 10.1103/PhysRevB.68.014305
ISSN: 1098-0121
WoS: 000184582900065
Scopus: 2-s2.0-0141788740
Колекције
Институција/група
VinčaTY - JOUR AU - Hadžievski, Ljupčo AU - Stepić, Milutin AU - Škorić, Miloš M. PY - 2003 UR - https://vinar.vin.bg.ac.rs/handle/123456789/2654 AB - The problem of modulation instability of continuous wave and array soliton solutions within the framework of a two-dimensional continuum-discrete nonlinear Schrodinger lattice model, which accounts for dispersion and long-range interactions between elements, is investigated. The linear stability analysis based on an energy principle and a variational approach, which were originally developed for the continuum nonlinear Schrodinger model, is proposed. Regions of instability are identified and analytical expressions for the corresponding thresholds and the growth rate spectra are calculated. T2 - Physical Review B: Condensed Matter and Materials Physics T1 - Modulation instability in two-dimensional nonlinear Schrodinger lattice models with dispersion and long-range interactions VL - 68 IS - 1 DO - 10.1103/PhysRevB.68.014305 ER -
@article{ author = "Hadžievski, Ljupčo and Stepić, Milutin and Škorić, Miloš M.", year = "2003", abstract = "The problem of modulation instability of continuous wave and array soliton solutions within the framework of a two-dimensional continuum-discrete nonlinear Schrodinger lattice model, which accounts for dispersion and long-range interactions between elements, is investigated. The linear stability analysis based on an energy principle and a variational approach, which were originally developed for the continuum nonlinear Schrodinger model, is proposed. Regions of instability are identified and analytical expressions for the corresponding thresholds and the growth rate spectra are calculated.", journal = "Physical Review B: Condensed Matter and Materials Physics", title = "Modulation instability in two-dimensional nonlinear Schrodinger lattice models with dispersion and long-range interactions", volume = "68", number = "1", doi = "10.1103/PhysRevB.68.014305" }
Hadžievski, L., Stepić, M.,& Škorić, M. M.. (2003). Modulation instability in two-dimensional nonlinear Schrodinger lattice models with dispersion and long-range interactions. in Physical Review B: Condensed Matter and Materials Physics, 68(1). https://doi.org/10.1103/PhysRevB.68.014305
Hadžievski L, Stepić M, Škorić MM. Modulation instability in two-dimensional nonlinear Schrodinger lattice models with dispersion and long-range interactions. in Physical Review B: Condensed Matter and Materials Physics. 2003;68(1). doi:10.1103/PhysRevB.68.014305 .
Hadžievski, Ljupčo, Stepić, Milutin, Škorić, Miloš M., "Modulation instability in two-dimensional nonlinear Schrodinger lattice models with dispersion and long-range interactions" in Physical Review B: Condensed Matter and Materials Physics, 68, no. 1 (2003), https://doi.org/10.1103/PhysRevB.68.014305 . .