2008/02/05 by Ze'ev Birnbaum, Ze’ev Birnbaum, Boris A. Malomed
Physics and Astronomy · #Advanced Fiber Laser Technologies #Channel (broadcasting) #Computer science #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Nonlinear system #Optics #Physics #Quantum mechanics #Quintic function #Telecommunications #Waveguide #nlin.PS #physics.optics
paper · pdf · doi:10.1016/j.physd.2008.08.005
arxiv created 2008/02/05 · openalex publication_date 2008/08/16 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present eight types of spatial optical solitons which are possible in a model of a planar waveguide that includes a dual-channel trapping structure and competing (cubic-quintic) nonlinearity. Among the families of trapped beams are symmetric and antisymmetric solitons of "broad" and "narrow" types, composite states, built as combinations of broad and narrow beams with identical or opposite signs ("unipolar" and "bipolar" states, respectively), and "single-sided" broad and narrow beams trapped, essentially, in a single channel. The stability of the families is investigated via eigenvalues of small perturbations, and is verified in direct simulations. Three species - narrow symmetric, broad antisymmetric, and unipolar composite states - are unstable to perturbations with real eigenvalues, while the other five families are stable. The unstable states do not decay, but, instead, spontaneously transform themselves into persistent breathers, which, in some cases, demonstrate dynamical symmetry breaking and chaotic internal oscillations. A noteworthy feature is a stability exchange between the broad and narrow antisymmetric states: in the limit when the two channels merge into one, the former species becomes stable, while the latter one loses its stability. Different branches of the stationary states are linked by four bifurcations, which take different forms in the model with the strong and weak inter-channel coupling.