We analyze the effect of damping (absorption) on critical self-focusing. We identify a threshold value δₜₕ for the damping parameter δ such that when δ%gt; δₜₕ damping arrests blowup. When δ < δₜₕ, the solution blows up at the same asymptotic rate as the undamped nonlinear Schrödinger equation.
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Gadi Fibich (2001) studied this question.
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