Strongly localized moving discrete dissipative breather-solitons in Kerr nonlinear media supported by intrinsic gain

Johansson, Magnus, Prilepsky, Jaroslaw E. and Derevyanko, Stanislav A. (2014). Strongly localized moving discrete dissipative breather-solitons in Kerr nonlinear media supported by intrinsic gain. Physical Review E, 89 (4),

Abstract

We investigate the mobility of nonlinear localized modes in a generalized discrete Ginzburg-Landau-type model, describing a one-dimensional waveguide array in an active Kerr medium with intrinsic, saturable gain and damping. It is shown that exponentially localized, traveling discrete dissipative breather-solitons may exist as stable attractors supported only by intrinsic properties of the medium, i.e., in the absence of any external field or symmetry-breaking perturbations. Through an interplay by the gain and damping effects, the moving soliton may overcome the Peierls-Nabarro barrier, present in the corresponding conservative system, by self-induced time-periodic oscillations of its power (norm) and energy (Hamiltonian), yielding exponential decays to zero with different rates in the forward and backward directions. In certain parameter windows, bistability appears between fast modes with small oscillations and slower, large-oscillation modes. The velocities and the oscillation periods are typically related by lattice commensurability and exhibit period-doubling bifurcations to chaotically "walking" modes under parameter variations. If the model is augmented by intersite Kerr nonlinearity, thereby reducing the Peierls-Nabarro barrier of the conservative system, the existence regime for moving solitons increases considerably, and a richer scenario appears including Hopf bifurcations to incommensurately moving solutions and phase-locking intervals. Stable moving breathers also survive in the presence of weak disorder.

Publication DOI: https://doi.org/10.1103/PhysRevE.89.042912
Divisions: Engineering & Applied Sciences > Mathematics
Engineering & Applied Sciences > Systems analytics research institute (SARI)
Engineering & Applied Sciences > Electrical, electronic & power engineering
Additional Information: Swedish Research Council. J.E.P. appreciates the support of the ERC project ULTRALASER. S.D. was supported by Marie Curie Fellowship project INDIGO.
Uncontrolled Keywords: Condensed Matter Physics,Statistical and Nonlinear Physics,Statistics and Probability
Full Text Link: http://liu.diva ... 1394&dswid=6695
Related URLs: http://www.scop ... tnerID=8YFLogxK (Scopus URL)
https://journal ... sRevE.89.042912 (Publisher URL)
Published Date: 2014-04-18
Authors: Johansson, Magnus
Prilepsky, Jaroslaw E.
Derevyanko, Stanislav A.

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