Comment on "localized vortices with a semi-integer charge in nonlinear dynamical lattices"
2002 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, Vol. 66, no 4, 048601- p.Article in journal, Editorial material (Other academic) Published
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.
Place, publisher, year, edition, pages
2002. Vol. 66, no 4, 048601- p.
Engineering and Technology
IdentifiersURN: urn:nbn:se:liu:diva-46804DOI: 10.1103/PhysRevE.66.048601OAI: oai:DiVA.org:liu-46804DiVA: diva2:267700