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Updated: Aug 7, 2026
07:46
Setting Limits on Supersymmetry Using Simplified Models
Published on: November 16, 2013
Collapse arresting in an inhomogeneous quintic nonlinear Schrödinger model
Y B Gaididei1, J Schjødt-Eriksen, P L Christiansen
1Department of Mathematical Modelling, The Technical University of Denmark, DK-2800 Lyngby, Denmark.
Summary
Beam collapse in nonlinear systems can be delayed or stopped by attractive inhomogeneities. This study analyzes the (1+1)-dimensional quintic nonlinear Schrödinger equation, showing how localized changes affect beam propagation.
Area of Science:
- Nonlinear optics
- Mathematical physics
Background:
- The nonlinear Schrödinger equation (NLSE) describes wave propagation in various media.
- Beam collapse is a critical phenomenon in nonlinear optics, leading to intensity blow-up.
- Inhomogeneities can significantly alter wave dynamics.
Purpose of the Study:
- To investigate the effect of narrow attractive inhomogeneities on beam collapse.
- To analyze the (1+1)-dimensional quintic nonlinear Schrödinger equation (NLSE).
- To compare numerical and analytical findings on beam dynamics.
Main Methods:
- Numerical simulations of the (1+1)-dimensional quintic NLSE.
- Analytical techniques to study beam behavior near inhomogeneities.
- Analysis of beam propagation and collapse dynamics.
Main Results:
- Beam collapse, predicted in homogeneous media, can be delayed in the presence of attractive inhomogeneities.
- In some cases, attractive inhomogeneities can completely arrest beam collapse.
- The location and strength of the inhomogeneity are crucial factors.
Conclusions:
- Localized attractive potentials can counteract the tendency for beam collapse in the quintic NLSE.
- This finding has implications for controlling high-intensity beams in nonlinear media.
- Further research can explore different inhomogeneity profiles and NLSE models.
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