Self-Focusing in the Damped Nonlinear Schrödinger Equation

نویسنده

  • Gadi Fibich
چکیده

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 > 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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عنوان ژورنال:
  • SIAM Journal of Applied Mathematics

دوره 61  شماره 

صفحات  -

تاریخ انتشار 2001