Publicação: Periodic waves and solitons in a nonlinear fibre with resonant impurities
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2002-11-01
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Taylor & Francis Ltd
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We shall consider a coupled nonlinear Schrodinger equation- Bloch system of equations describing the propagation of a single pulse through a nonlinear dispersive waveguide in the presence of resonances; this could be, for example, a doped optical fibre. By making use of the integrability of the dynamic equations, we shall apply the finite-gap integration method to obtain periodic solutions for this system. Next, we consider the problem of the formation of solitons at a sharp front pulse and, by means of the Whitham modulational theory, we derive the amplitude and velocity of the largest soliton.
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Journal of Modern Optics. Abingdon: Taylor & Francis Ltd, v. 49, n. 13, p. 2183-2193, 2002.