Effect of an external periodic potential on pairs of dissipative solitons
Authors: Chang W., Akhmediev N., Wabnitz S.
Autors Affiliation: Optical Sciences Group, Research School of Physics and Engineering, Australian National University, Canberra, ACT 0200, Canada; Dipartimento di Elettronica per l\’Automazione, University of Brescia, Via Branze 38, 25123 Brescia, Italy
Abstract: 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.
Journal/Review: PHYSICAL REVIEW A
Volume: 80 (1) Pages from: 013815 to: 013815
More Information: N. A. and W. C. gratefully acknowledge the support of the Australian Research Council (Discovery Project No. DP0985394)KeyWords: Bound state; Cubic-quintic Ginzburg-Landau equation; Dissipative solitons; External modulation; Modulation depth; Periodic potentials; Phase difference; Stable form; Time separation, Hysteresis; Hysteresis loops; Modulation, SolitonsDOI: 10.1103/PhysRevA.80.013815