Abstract
Self-similar propagation in a system of coupled amplified nonlinear Schrödinger equations is studied. We find that each individual amplified nonlinear Schrödinger equation can sustain a component similariton with a quadratic phase, which is the asymptotic self-similar solution of the corresponding equation. Under a width-matching condition, the incoherent summation of all the component similaritons leads to another similariton with parabolic profile. Numerical simulations show that this incoherent parabolic similariton maintains all the characteristics of its coherent counterpart.
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