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Cylindrical traveling waves for the generalized cubical Schrödinger equation

✍ Scribed by A. Yu. Kolesov; A. N. Kulikov; N. Kh. Rozov

Book ID
111454061
Publisher
SP MAIK Nauka/Interperiodica
Year
2006
Tongue
English
Weight
181 KB
Volume
73
Category
Article
ISSN
1064-5624

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## 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