Modulational instability and solitary waves in one-dimensional lattices with intensity-resonant nonlinearity
Abstract
We study theoretically light beam propagation in one-dimensional periodic media with intensity-resonant nonlinearity. The phenomenon of discrete modulational instability is investigated in detail as well as the conditions for the existence and stability of fundamental lattice and surface soliton modes. According to the linear stability analysis, only on-site solitons are stable. The mobility of lattice solitons is analyzed by both free energy and mapping concepts. Only broad solitons may freely traverse the lattice.
Source:
Physical Review A, 2008, 78, 4Funding / projects:
- Ministry of Science of Republic Serbia [141034]
DOI: 10.1103/PhysRevA.78.043819
ISSN: 1050-2947
WoS: 000260574100159
Scopus: 2-s2.0-54849433466
Collections
Institution/Community
VinčaTY - JOUR AU - Stepić, Milutin AU - Maluckov, Aleksandra AU - Stojanović, Marija AU - Chen, Feng AU - Kip, Detlef PY - 2008 UR - https://vinar.vin.bg.ac.rs/handle/123456789/3558 AB - We study theoretically light beam propagation in one-dimensional periodic media with intensity-resonant nonlinearity. The phenomenon of discrete modulational instability is investigated in detail as well as the conditions for the existence and stability of fundamental lattice and surface soliton modes. According to the linear stability analysis, only on-site solitons are stable. The mobility of lattice solitons is analyzed by both free energy and mapping concepts. Only broad solitons may freely traverse the lattice. T2 - Physical Review A T1 - Modulational instability and solitary waves in one-dimensional lattices with intensity-resonant nonlinearity VL - 78 IS - 4 DO - 10.1103/PhysRevA.78.043819 ER -
@article{ author = "Stepić, Milutin and Maluckov, Aleksandra and Stojanović, Marija and Chen, Feng and Kip, Detlef", year = "2008", abstract = "We study theoretically light beam propagation in one-dimensional periodic media with intensity-resonant nonlinearity. The phenomenon of discrete modulational instability is investigated in detail as well as the conditions for the existence and stability of fundamental lattice and surface soliton modes. According to the linear stability analysis, only on-site solitons are stable. The mobility of lattice solitons is analyzed by both free energy and mapping concepts. Only broad solitons may freely traverse the lattice.", journal = "Physical Review A", title = "Modulational instability and solitary waves in one-dimensional lattices with intensity-resonant nonlinearity", volume = "78", number = "4", doi = "10.1103/PhysRevA.78.043819" }
Stepić, M., Maluckov, A., Stojanović, M., Chen, F.,& Kip, D.. (2008). Modulational instability and solitary waves in one-dimensional lattices with intensity-resonant nonlinearity. in Physical Review A, 78(4). https://doi.org/10.1103/PhysRevA.78.043819
Stepić M, Maluckov A, Stojanović M, Chen F, Kip D. Modulational instability and solitary waves in one-dimensional lattices with intensity-resonant nonlinearity. in Physical Review A. 2008;78(4). doi:10.1103/PhysRevA.78.043819 .
Stepić, Milutin, Maluckov, Aleksandra, Stojanović, Marija, Chen, Feng, Kip, Detlef, "Modulational instability and solitary waves in one-dimensional lattices with intensity-resonant nonlinearity" in Physical Review A, 78, no. 4 (2008), https://doi.org/10.1103/PhysRevA.78.043819 . .