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Interaction of soliton with sinusoidal wave packet

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5 Author(s)
Haus, H. ; Dept. of Electr. Eng. & Comput. Sci., MIT, Cambridge, MA, USA ; Khatri, F.I. ; Wong, W.S. ; Ippen, E.P.
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The interaction of a soliton of the Nonlinear Schrodinger Equation (NSE) with a weak sinusoidal wave packet is treated analytically. The second-order soliton solution containing the original soliton and a perturbing soliton is expanded to first order in the amplitude of the perturbating soliton. From this expansion, one obtains the associate function of Gordon (1992) and a continuous change of position and phase of the perturbed soliton. One finds that the soliton experiences a second-order change of velocity under the influence of the perturbation. This result is then used to derive the displacement due to a wave packet of general shape, which is also confirmed by computer simulation

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Quantum Electronics, IEEE Journal of  (Volume:32 ,  Issue: 6 )