Abstract
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 language | English (US) |
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Pages (from-to) | 2517-2602 |
Number of pages | 86 |
Journal | Journal of the European Mathematical Society |
Volume | 21 |
Issue number | 8 |
DOIs | |
State | Published - 2019 |
Keywords
- KdV equation
- Long wave limit
- Schrödinger map
ASJC Scopus subject areas
- Mathematics(all)
- Applied Mathematics