TY - JOUR
T1 - Exact stable pulses in asymmetric linearly coupled Ginzburg-Landau equations
AU - Atai, Javid
AU - Malomed, Boris A.
PY - 1998/9/21
Y1 - 1998/9/21
N2 - We put forward the first physical model based on coupled Ginzburg-Landau equations that supports exact stable pulse solutions. The model describes a doped twin-core optical fiber with dispersive losses, dispersion, and cubic nonlinearity in one component, and pure losses in the other. The exact stable pulses are found for the cases of the anomalous, normal, and zero dispersion. Necessary conditions for stability of the pulses are obtained analytically, and a full stability analysis is performed numerically. We find nontrivial stability borders on the model's phase planes that do not follow from elementary theorems of the bifurcation theory.
AB - We put forward the first physical model based on coupled Ginzburg-Landau equations that supports exact stable pulse solutions. The model describes a doped twin-core optical fiber with dispersive losses, dispersion, and cubic nonlinearity in one component, and pure losses in the other. The exact stable pulses are found for the cases of the anomalous, normal, and zero dispersion. Necessary conditions for stability of the pulses are obtained analytically, and a full stability analysis is performed numerically. We find nontrivial stability borders on the model's phase planes that do not follow from elementary theorems of the bifurcation theory.
UR - http://www.scopus.com/inward/record.url?scp=0342915315&partnerID=8YFLogxK
U2 - 10.1016/S0375-9601(98)00505-2
DO - 10.1016/S0375-9601(98)00505-2
M3 - ???researchoutput.researchoutputtypes.contributiontojournal.article???
AN - SCOPUS:0342915315
SN - 0375-9601
VL - 246
SP - 412
EP - 422
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 5
ER -