Chaotic breathers and breather fission/fusion for a vector nonlinear Schrödinger equation in a birefringent optical fiber or wavelength division multiplexed system
Abstract Investigation is made on a vector nonlinear Schrodinger equation in the anomalous dispersion regime describing the optical pulses in a birefringent optical fiber or in a wavelength division multiplexed system. We derive the analytical breather solutions. Fission and fusion of the breathers are investigated via the relation between the phase velocity and group velocity of the plane wave. Stability of the numerical breather is studied via the pseudospectral method: The breather with the white noise propagates stably. Breathers in the chaotic wave fields are derived via the split-step Fourier method: The breathers in the positive x axis are observed more distinctly than in the negative, where x is the spatial coordinate. Complex eigenvalue is gotten to study those phenomena. Effects of the modulation instability on the breathers in the chaotic wave fields are investigated.