Spikes in two-component systems of nonlinear Schrodinger equations with trapping potentials
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AbstractRecently, two-component systems of nonlinear Schrodinger equations with trap potentials have been well-known to describe a binary mixture of Bose-Einstein condensates called a double condensate. In a double condensate, the locations of spikes can be influenced by the interspecies scattering length and trap potentials so the interaction of spikes becomes complicated, and the locations of spikes are difficult to be determined. Here we study spikes of a double condensate by analyzing least energy (ground state) solutions of two-component systems of nonlinear Schrodinger equations with trap potentials. Our mathematical arguments may prove how trap potentials and the interspecies scattering length affect the locations of spikes. We use Nehari's manifold to construct least energy solutions and derive their asymptotic behaviors by some techniques of singular perturbation problems. (c) 2005 Elsevier Inc. All rights reserved.
All Author(s) ListLin TC, Wei JC
Journal nameJournal of Differential Equations
Year2006
Month10
Day15
Volume Number229
Issue Number2
PublisherACADEMIC PRESS INC ELSEVIER SCIENCE
Pages538 - 569
ISSN0022-0396
eISSN1090-2732
LanguagesEnglish-United Kingdom
Web of Science Subject CategoriesMathematics; MATHEMATICS

Last updated on 2021-02-05 at 01:41