Abstract
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.
Original language | English |
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Pages (from-to) | 1680-1705 |
Number of pages | 26 |
Journal | SIAM Journal on Applied Mathematics |
Volume | 61 |
Issue number | 5 |
DOIs | |
State | Published - 2001 |
Keywords
- Absorption
- Blowup
- Collapse
- Critical power
- Damping
- Modulation theory
- Singularity