Fundamental solitons in discrete lattices with a delayed nonlinear response
Апстракт
The formation of unstaggered localized modes in dynamical lattices can be supported by the interplay of discreteness and nonlinearity with a finite relaxation time. In rapidly responding nonlinear media, on-site discrete solitons are stable, and their broad intersite counterparts are marginally stable, featuring a virtually vanishing real instability eigenvalue. The solitons become unstable in the case of the slowly relaxing nonlinearity. The character of the instability alters with the increase of the delay time, which leads to a change in the dynamics of unstable discrete solitons. They form robust localized breathers in rapidly relaxing media, and decay into oscillatory diffractive pattern in the lattices with a slow nonlinear response. Marginally stable solitons can freely move across the lattice.
Извор:
Chaos, 2010, 20, 4Финансирање / пројекти:
- Физика комплексних феномена у плазми, кондензованој материји и нелинеарној оптици (RS-MESTD-MPN2006-2010-141034)
- German-Israel Foundation [149/2006]
DOI: 10.1063/1.3493407
ISSN: 1054-1500
PubMed: 21198083
WoS: 000285768500022
Scopus: 2-s2.0-78650681759
Институција/група
VinčaTY - JOUR AU - Maluckov, Aleksandra AU - Hadžievski, Ljupčo AU - Malomed, Boris A. PY - 2010 UR - https://vinar.vin.bg.ac.rs/handle/123456789/4181 AB - The formation of unstaggered localized modes in dynamical lattices can be supported by the interplay of discreteness and nonlinearity with a finite relaxation time. In rapidly responding nonlinear media, on-site discrete solitons are stable, and their broad intersite counterparts are marginally stable, featuring a virtually vanishing real instability eigenvalue. The solitons become unstable in the case of the slowly relaxing nonlinearity. The character of the instability alters with the increase of the delay time, which leads to a change in the dynamics of unstable discrete solitons. They form robust localized breathers in rapidly relaxing media, and decay into oscillatory diffractive pattern in the lattices with a slow nonlinear response. Marginally stable solitons can freely move across the lattice. T2 - Chaos T1 - Fundamental solitons in discrete lattices with a delayed nonlinear response VL - 20 IS - 4 DO - 10.1063/1.3493407 ER -
@article{ author = "Maluckov, Aleksandra and Hadžievski, Ljupčo and Malomed, Boris A.", year = "2010", abstract = "The formation of unstaggered localized modes in dynamical lattices can be supported by the interplay of discreteness and nonlinearity with a finite relaxation time. In rapidly responding nonlinear media, on-site discrete solitons are stable, and their broad intersite counterparts are marginally stable, featuring a virtually vanishing real instability eigenvalue. The solitons become unstable in the case of the slowly relaxing nonlinearity. The character of the instability alters with the increase of the delay time, which leads to a change in the dynamics of unstable discrete solitons. They form robust localized breathers in rapidly relaxing media, and decay into oscillatory diffractive pattern in the lattices with a slow nonlinear response. Marginally stable solitons can freely move across the lattice.", journal = "Chaos", title = "Fundamental solitons in discrete lattices with a delayed nonlinear response", volume = "20", number = "4", doi = "10.1063/1.3493407" }
Maluckov, A., Hadžievski, L.,& Malomed, B. A.. (2010). Fundamental solitons in discrete lattices with a delayed nonlinear response. in Chaos, 20(4). https://doi.org/10.1063/1.3493407
Maluckov A, Hadžievski L, Malomed BA. Fundamental solitons in discrete lattices with a delayed nonlinear response. in Chaos. 2010;20(4). doi:10.1063/1.3493407 .
Maluckov, Aleksandra, Hadžievski, Ljupčo, Malomed, Boris A., "Fundamental solitons in discrete lattices with a delayed nonlinear response" in Chaos, 20, no. 4 (2010), https://doi.org/10.1063/1.3493407 . .