Self-focusing in the damped nonlinear Schrödinger equation (Q2706098)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Self-focusing in the damped nonlinear Schrödinger equation |
scientific article |
Statements
19 March 2001
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damping
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absorption
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singularity
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collapse
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blowup
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modulation theory
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critical power
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Self-focusing in the damped nonlinear Schrödinger equation (English)
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The author analyzes the effect of damping (absorption) on critical self-focusing. The threshold value \(\delta_{th}\) is identified for the damping parameter \(\delta\) such that when \(\delta>\delta_{th}\) damping arrests blowup. When \(\delta<\delta_{th}\), the solution blows up at the same asymptotic rate as the undamped nonlinear Schrödinger equation.
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