Modulational instability on triangular dynamical lattices with long-range interactions and dispersion
Апстракт
The influence of long-range interactions on the stability of stationary solutions of triangular lattices described by the continuum-discrete nonlinear Schrodinger equation is analyzed. By virtue of the linear stability analysis and a variational approach we demonstrate that both soliton array and continuous-wave solutions are modulationally unstable. Analytical expressions for instability thresholds and growth rate spectra are presented and compared with the corresponding results in the approximation of a nearest neighbor interaction.
Извор:
European Physical Journal B. Condensed Matter and Complex Systems, 2004, 41, 4, 495-501
DOI: 10.1140/epjb/e2004-00343-2
ISSN: 1434-6028
WoS: 000224956700009
Scopus: 2-s2.0-10644237216
Колекције
Институција/група
VinčaTY - JOUR AU - Stepić, Milutin AU - Maluckov, Aleksandra AU - Hadžievski, Ljupčo AU - Chen, F AU - Runde, D AU - Kip, D PY - 2004 UR - https://vinar.vin.bg.ac.rs/handle/123456789/2826 AB - The influence of long-range interactions on the stability of stationary solutions of triangular lattices described by the continuum-discrete nonlinear Schrodinger equation is analyzed. By virtue of the linear stability analysis and a variational approach we demonstrate that both soliton array and continuous-wave solutions are modulationally unstable. Analytical expressions for instability thresholds and growth rate spectra are presented and compared with the corresponding results in the approximation of a nearest neighbor interaction. T2 - European Physical Journal B. Condensed Matter and Complex Systems T1 - Modulational instability on triangular dynamical lattices with long-range interactions and dispersion VL - 41 IS - 4 SP - 495 EP - 501 DO - 10.1140/epjb/e2004-00343-2 ER -
@article{ author = "Stepić, Milutin and Maluckov, Aleksandra and Hadžievski, Ljupčo and Chen, F and Runde, D and Kip, D", year = "2004", abstract = "The influence of long-range interactions on the stability of stationary solutions of triangular lattices described by the continuum-discrete nonlinear Schrodinger equation is analyzed. By virtue of the linear stability analysis and a variational approach we demonstrate that both soliton array and continuous-wave solutions are modulationally unstable. Analytical expressions for instability thresholds and growth rate spectra are presented and compared with the corresponding results in the approximation of a nearest neighbor interaction.", journal = "European Physical Journal B. Condensed Matter and Complex Systems", title = "Modulational instability on triangular dynamical lattices with long-range interactions and dispersion", volume = "41", number = "4", pages = "495-501", doi = "10.1140/epjb/e2004-00343-2" }
Stepić, M., Maluckov, A., Hadžievski, L., Chen, F., Runde, D.,& Kip, D.. (2004). Modulational instability on triangular dynamical lattices with long-range interactions and dispersion. in European Physical Journal B. Condensed Matter and Complex Systems, 41(4), 495-501. https://doi.org/10.1140/epjb/e2004-00343-2
Stepić M, Maluckov A, Hadžievski L, Chen F, Runde D, Kip D. Modulational instability on triangular dynamical lattices with long-range interactions and dispersion. in European Physical Journal B. Condensed Matter and Complex Systems. 2004;41(4):495-501. doi:10.1140/epjb/e2004-00343-2 .
Stepić, Milutin, Maluckov, Aleksandra, Hadžievski, Ljupčo, Chen, F, Runde, D, Kip, D, "Modulational instability on triangular dynamical lattices with long-range interactions and dispersion" in European Physical Journal B. Condensed Matter and Complex Systems, 41, no. 4 (2004):495-501, https://doi.org/10.1140/epjb/e2004-00343-2 . .