TY - JOUR
T1 - Modulational instability of the Kuznetsov-Ma breather in optical fibers with constant and periodic dispersion
AU - Al Khawaja, U.
AU - Al-Marzoug, S. M.
AU - Bahlouli, H.
AU - Abdullaev, F. Kh
N1 - Funding Information:
The authors acknowledge support provided by King Fahd University of Petroleum and Minerals under group Project nos. RG1214-1 and RG1214-2 , and the support provided the Saudi Center for Theoretical Physics (SCTP). UK acknowledges the support provided by United Arab Emirates University under the UAEU-UPAR-2013 Grant. FA acknowledges the support from Grant EDW B14-096-0981 provided by IIUM.
Publisher Copyright:
© 2015 Elsevier B.V..
PY - 2016/3
Y1 - 2016/3
N2 - We perform modulational instability analysis of the Kuznetsov-Ma breather (KMB) propagating in a medium with constant and periodic dispersions. In the constant dispersion case, we show that the most unstable modulational instability eigenmode leads to bifurcation of the KMB into a sequence of breathers. The time at which bifurcation starts and the bifurcation rate are quantitatively accounted for. In the case of a KMB propagating in an optical fiber with a constant dispersion perturbed by a sinusoidal time-dependent modulation our results suggest that the KMB is most unstable just before and after the breather reaches its maximum peak height. Parametric resonance occurs when the frequency of the dispersion modulation is much larger than the natural frequency of the breather.
AB - We perform modulational instability analysis of the Kuznetsov-Ma breather (KMB) propagating in a medium with constant and periodic dispersions. In the constant dispersion case, we show that the most unstable modulational instability eigenmode leads to bifurcation of the KMB into a sequence of breathers. The time at which bifurcation starts and the bifurcation rate are quantitatively accounted for. In the case of a KMB propagating in an optical fiber with a constant dispersion perturbed by a sinusoidal time-dependent modulation our results suggest that the KMB is most unstable just before and after the breather reaches its maximum peak height. Parametric resonance occurs when the frequency of the dispersion modulation is much larger than the natural frequency of the breather.
KW - Kuznetsov-Ma breather
KW - Modulational instability
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U2 - 10.1016/j.cnsns.2015.07.012
DO - 10.1016/j.cnsns.2015.07.012
M3 - Article
AN - SCOPUS:84943392544
SN - 1007-5704
VL - 32
SP - 1
EP - 9
JO - Communications in Nonlinear Science and Numerical Simulation
JF - Communications in Nonlinear Science and Numerical Simulation
ER -