Abstract
We first construct traveling wave solutions for the Schrödinger map in R2 where m has exactly two vortices at approximately (±1/2ε,0) ε R2 of degree ±1. We use a perturbative approach that gives a complete characterization of the asymptotic behavior of the solutions. With a few modifications, a similar construction yields traveling wave solutions of Schrödinger map equations in higher dimensions.
Original language | English (US) |
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Pages (from-to) | 1585-1621 |
Number of pages | 37 |
Journal | Communications on Pure and Applied Mathematics |
Volume | 63 |
Issue number | 12 |
DOIs | |
State | Published - Dec 2010 |
ASJC Scopus subject areas
- General Mathematics
- Applied Mathematics