Blowup and solitary wave solutions with ring profiles of two-component nonlinear Schrodinger systems
Publication in refereed journal


Times Cited
Web of Science11WOS source URL (as at 23/10/2020) Click here for the latest count
Altmetrics Information
.

Other information
AbstractBlowup ring profiles have been investigated by finding non-vortex blowup solutions of nonlinear Schrodinger equations (NLSEs) (cf Fibich et al (2005) [7] and Fibich et al. (2007) [8]) However, those solutions have infinite L-2 norm, so one may not maintain the ring profile all the way up to the singularity To find H-1 non-vortex blowup solutions with ring profiles, we study the blowup solutions of two-component systems of NLSEs with nonlinear coefficients beta and nu(j), J = 1. 2 When beta < 0 and nu(1) >> nu(2) > 0, the two-component system can be transformed into a multi-scale system with fast and slow variables which may produce H-1 blowup solutions with non-vortex ring profiles. We use the localized energy method with symmetry reduction to construct these solutions rigorously On the other hand, these solutions may describe steady non-vortex bright ring solitons Various types of ring profiles including m-ring and ring-ring profiles are presented by numerical solutions (C) 2010 Elsevier B.V. All rights reserved
All Author(s) ListChen XJ, Lin TC, Wei JC
Journal namePhysica D: Nonlinear Phenomena
Year2010
Month5
Day15
Volume Number239
Issue Number10
PublisherELSEVIER SCIENCE BV
Pages613 - 626
ISSN0167-2789
LanguagesEnglish-United Kingdom
KeywordsBlowup; Ring profile; Solitary wave; Two-component systems of NLSEs
Web of Science Subject CategoriesMathematics; Mathematics, Applied; MATHEMATICS, APPLIED; Physics; Physics, Mathematical; PHYSICS, MATHEMATICAL; Physics, Multidisciplinary; PHYSICS, MULTIDISCIPLINARY

Last updated on 2020-24-10 at 00:30