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Comment on "localiz...
Comment on "localized vortices with a semi-integer charge in nonlinear dynamical lattices"
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- Johansson, Magnus (författare)
- Linköpings universitet,Tekniska högskolan,Teoretisk Fysik
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- Kevrekidis, P.G. (författare)
- Theoretical Division, Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM 87545
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- Malomed, B.A. (författare)
- Theoretical Division, Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM 87545
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- Bishop, A.R. (författare)
- Theoretical Division, Center for Nonlinear Studies, Los Alamos National Laboratory, Los Alamos, NM 87545
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- Frantzeskakis, D.J. (författare)
- Department of Physics, Univ. of Athens Panepistimiopolis, Zografos, Athens 15784, Greece
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(creator_code:org_t)
- 2002
- 2002
- Engelska.
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Ingår i: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics. - 1539-3755 .- 1550-2376. ; 66:4, s. 048601-
- Relaterad länk:
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
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- In a recent paper by Kevrekidis, Malomed, Bishop, and Frantzeskakis [Phys. Rev. E 65, 016605 (2001)] the existence of localized vortices with semi-integer topological charge as exact stationary solutions in a two-dimensional discrete nonlinear Schrödinger model is claimed, as well as the existence of an analog solution in the one-dimensional model. We point out that the existence of such exact stationary solutions would violate fundamental conservation laws, and therefore these claims are erroneous and appear as a consequence of inaccurate numerics. We illustrate the origin of these errors by performing similar numerical calculations using more accurate numerics.
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