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A numerical solution of the damped nonlinear Schrödinger equation is compared to analytical predictions that assume invariance of the soliton shape. The agreement is fair for the damping laws of the form γk∞‖k‖b. Good agreement is found for γk∞k2, and this case is studied analytically including second order effects of the damping.
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N. R. Pereira (1977) studied this question.
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