Traveling wave solutions of the Schrödinger map equation

Fanghua Lin, Juncheng Wei

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)1585-1621
Number of pages37
JournalCommunications on Pure and Applied Mathematics
Issue number12
StatePublished - Dec 2010

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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