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Journal article
Focusing singularity in a derivative nonlinear Schrödinger equation
Physica. D, v 262
01 Nov 2013
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Abstract
We present a numerical study of a derivative nonlinear Schrödinger equation with a general power nonlinearity, |ψ|2σψx. In the L2-supercritical regime, σ>1, our simulations indicate that there is a finite time singularity. We obtain a precise description of the local structure of the solution in terms of the blowup rate and the asymptotic profile, in a form similar to that of the nonlinear Schrödinger equation with supercritical power law nonlinearity.
•This is a numerical study of a generalized derivative nonlinear Schrödinger equation.•We observe singularity formation in the L2-supercritical regime.•We obtain a precise description of the local structure of singular solutions.•The singularity is described in terms of the blowup rate and the asymptotic profile.
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Details
- Title
- Focusing singularity in a derivative nonlinear Schrödinger equation
- Creators
- Xiao Liu - University of TorontoGideon Simpson - University of MinnesotaCatherine Sulem - University of Toronto
- Publication Details
- Physica. D, v 262
- Publisher
- Elsevier
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000324976600004
- Scopus ID
- 2-s2.0-84882346784
- Other Identifier
- 991019296535404721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Mathematics, Applied
- Physics, Fluids & Plasmas
- Physics, Mathematical
- Physics, Multidisciplinary