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The map equation

✍ Scribed by M. Rosvall; D. Axelsson; C. T. Bergstrom

Book ID
111633913
Publisher
Springer-Verlag
Year
2009
Tongue
English
Weight
750 KB
Volume
178
Category
Article
ISSN
1951-6355

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Traveling wave solutions of the Schrödin
Traveling wave solutions of the Schrödinger map equation
✍ Fanghua Lin; Juncheng Wei 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 286 KB 👁 1 views

## Abstract We first construct traveling wave solutions for the Schrödinger map in ℝ^2^ of the form __m__(__x__~1~, __x__~2~ − ϵ __t__), where __m__ has exactly two vortices at approximately $\font\open=msbm10 at 10pt\def\R{\hbox{\open R}}(\pm {{1}\over{2 \epsilon}}, 0) \in \R^2$ of degree ±1. We