Soliton propagation in a medium with Kerr nonlinearity and resonant impurities: A variational approach
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2003-01-01
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Using a variational approach we have studied the shape preserving coherent propagation of light pulses in a resonant dispersive medium in the presence of the Kerr nonlinearity. Within the framework of a combined nonintegrable system composed of one nonlinear Schrödinger and a pair of Bloch equations, we show the existence of a solitary wave. We have tested our analytical solution through numerical simulations confirming its solitary wave nature. © 2003 The American Physical Society.
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Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, v. 67, n. 4, p. 5-, 2003.