Long wave limit for Schrödinger maps

Pierre Germain, Frédéric Rousset

Research output: Contribution to journalArticlepeer-review


We study long wave limits for general Schrödinger map systems into Kähler manifolds with a constraining potential vanishing on a Lagrangian submanifold. We obtain KdV-type systems set on the tangent space of the submanifold. Our general theory is applied to study the long wave limits of the Gross-Pitaevskii equation and of the Landau-Lifshitz systems for ferromagnetic and anti-ferromagnetic chains.

Original languageEnglish (US)
Pages (from-to)2517-2602
Number of pages86
JournalJournal of the European Mathematical Society
Issue number8
StatePublished - 2019


  • KdV equation
  • Long wave limit
  • Schrödinger map

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


Dive into the research topics of 'Long wave limit for Schrödinger maps'. Together they form a unique fingerprint.

Cite this