Traveling wave solutions of the Schrödinger map equation

Fang-Hua Lin, Juncheng Wei

Research output: Contribution to journalArticle

Abstract

We first construct traveling wave solutions for the Schrödinger map in R 2 where m has exactly two vortices at approximately (±1/2ε,0) ε R 2 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
Volume63
Issue number12
DOIs
StatePublished - Dec 2010

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Traveling Wave Solutions
Higher Dimensions
Vortex
Vortex flow
Asymptotic Behavior

ASJC Scopus subject areas

  • Mathematics(all)
  • Applied Mathematics

Cite this

Traveling wave solutions of the Schrödinger map equation. / Lin, Fang-Hua; Wei, Juncheng.

In: Communications on Pure and Applied Mathematics, Vol. 63, No. 12, 12.2010, p. 1585-1621.

Research output: Contribution to journalArticle

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