Phys. Rev. A 79, 063831 (2009) [10 pages]Bifurcations of nonlinear localized modes in disordered latticesReceived 10 April 2009; published 23 June 2009 We analyze families of localized solutions of a nonlinear Schrödinger equation in the presence of a disordered potential modeling a waveguide array. A coupled mode theory approximation reveals that the families of disordered lattice solitons follow a cascade of Hopf-like bifurcations. Using a perturbation method, we analyze the origins of this bifurcation structure. We find that each family of solutions is characterized by a constant number of nodes. These predictions are in agreement with the numerical results of the nonlinear Schrödinger equation with a disordered potential. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.79.063831
DOI:
10.1103/PhysRevA.79.063831
PACS:
42.65.Tg, 72.15.Rn, 42.25.Dd
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