TY - JOUR
T1 - Effect of an external periodic potential on pairs of dissipative solitons
AU - Chang, Wonkeun
AU - Akhmediev, Nail
AU - Wabnitz, Stefan
PY - 2009/8/6
Y1 - 2009/8/6
N2 - We study dissipative soliton pair solutions of the complex cubic-quintic Ginzburg-Landau equation with periodic phase modulation term. The external modulation changes the soliton-pair time separation as well as their phase difference, without destroying the existing two-soliton bound state. Transitions between different stable forms of the pair occur in the form of bifurcations. Quite remarkably, two types of bound states may coexist, which leads to hysteresis loops when the modulation depth is varied.
AB - We study dissipative soliton pair solutions of the complex cubic-quintic Ginzburg-Landau equation with periodic phase modulation term. The external modulation changes the soliton-pair time separation as well as their phase difference, without destroying the existing two-soliton bound state. Transitions between different stable forms of the pair occur in the form of bifurcations. Quite remarkably, two types of bound states may coexist, which leads to hysteresis loops when the modulation depth is varied.
UR - http://www.scopus.com/inward/record.url?scp=69449090000&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.80.013815
DO - 10.1103/PhysRevA.80.013815
M3 - Article
SN - 1050-2947
VL - 80
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 1
M1 - 013815
ER -