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arXiv · 1604.05710

Long wave limit for Schrodinger maps

Pierre Germain·Frederic Rousset
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Abstract

We study long wave limits for general Schrodinger maps systems into Kahler 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 limit of the Gross-Pitaevskii equation, and of the Landau-Lifshitz systems for ferromagnetic and antiferromagnetic chains.

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Pierre Germain, Frederic Rousset. 2016-04-19. Long wave limit for Schrodinger maps. https://arxiv.org/abs/1604.05710

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