One-dimensional bright discrete solitons in media with saturable nonlinearity
Apstrakt
A problem of pulse propagation in a homogeneous nonlinear waveguide array with saturable nonlinearity is studied. The corresponding model equation is the discretized Vinetskii-Kukhtarev equation with neglected influence of diffusion of charge carriers. For periodic boundary conditions, exact homogeneous and oscillating stationary solutions are found. A wide instability region of the homogeneous, array-independent solution is identified. An approximate analytical solution for the bright one-dimensional discrete soliton where the energy is concentrated mainly in a few waveguides is obtained. The soliton stability is investigated both analytically and numerically and a cascade nature of the saturation mechanism is revealed.
Izvor:
Physical Review E, 2004, 69, 6
DOI: 10.1103/PhysRevE.69.066618
ISSN: 2470-0045; 2470-0053
PubMed: 15244775
WoS: 000222502800127
Scopus: 2-s2.0-37649028892
Kolekcije
Institucija/grupa
VinčaTY - JOUR AU - Stepić, Milutin AU - Kip, D AU - Hadžievski, Ljupčo AU - Maluckov, Aleksandra PY - 2004 UR - https://vinar.vin.bg.ac.rs/handle/123456789/2782 AB - A problem of pulse propagation in a homogeneous nonlinear waveguide array with saturable nonlinearity is studied. The corresponding model equation is the discretized Vinetskii-Kukhtarev equation with neglected influence of diffusion of charge carriers. For periodic boundary conditions, exact homogeneous and oscillating stationary solutions are found. A wide instability region of the homogeneous, array-independent solution is identified. An approximate analytical solution for the bright one-dimensional discrete soliton where the energy is concentrated mainly in a few waveguides is obtained. The soliton stability is investigated both analytically and numerically and a cascade nature of the saturation mechanism is revealed. T2 - Physical Review E T1 - One-dimensional bright discrete solitons in media with saturable nonlinearity VL - 69 IS - 6 DO - 10.1103/PhysRevE.69.066618 ER -
@article{ author = "Stepić, Milutin and Kip, D and Hadžievski, Ljupčo and Maluckov, Aleksandra", year = "2004", abstract = "A problem of pulse propagation in a homogeneous nonlinear waveguide array with saturable nonlinearity is studied. The corresponding model equation is the discretized Vinetskii-Kukhtarev equation with neglected influence of diffusion of charge carriers. For periodic boundary conditions, exact homogeneous and oscillating stationary solutions are found. A wide instability region of the homogeneous, array-independent solution is identified. An approximate analytical solution for the bright one-dimensional discrete soliton where the energy is concentrated mainly in a few waveguides is obtained. The soliton stability is investigated both analytically and numerically and a cascade nature of the saturation mechanism is revealed.", journal = "Physical Review E", title = "One-dimensional bright discrete solitons in media with saturable nonlinearity", volume = "69", number = "6", doi = "10.1103/PhysRevE.69.066618" }
Stepić, M., Kip, D., Hadžievski, L.,& Maluckov, A.. (2004). One-dimensional bright discrete solitons in media with saturable nonlinearity. in Physical Review E, 69(6). https://doi.org/10.1103/PhysRevE.69.066618
Stepić M, Kip D, Hadžievski L, Maluckov A. One-dimensional bright discrete solitons in media with saturable nonlinearity. in Physical Review E. 2004;69(6). doi:10.1103/PhysRevE.69.066618 .
Stepić, Milutin, Kip, D, Hadžievski, Ljupčo, Maluckov, Aleksandra, "One-dimensional bright discrete solitons in media with saturable nonlinearity" in Physical Review E, 69, no. 6 (2004), https://doi.org/10.1103/PhysRevE.69.066618 . .