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Standing-wave solutions of the Enneper (sine-Gordon) equation |
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| Authors: | A. Seeger Z. Wesolowski |
| Affiliation: | Institut für Theoretische und Angewandte Physik der Universität Stuttgart and Max-Planck-Institut für Metallforschung, Institut für Physik, Stuttgart, Fed. Rep. of Germany Institute of Fundamental Technological Research, Warsaw, Poland |
| Abstract: | The present paper investigates the real solutions of the partial differential equations (∂2ω/∂u2) − (∂2ω/∂ν2) = sin ω (Enneper or sine-Gordon equation) that are of the FORM = F(|1(u) · |2(ν)). In the application of the Enneper equations to crystal physics such solutions may represent standing waves. A complete classification of these solutions and its degenerate cases is given. |
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