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1 result for “Lax pair”
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Research ArticleOpen accessIn the keywordsSplit-Quaternionic Representation of the Moving Frame for Timelike Surfaces in 3-Dimensional Minkowski SpacetimePaul BrackenThe moving frame and associated Gauss-Codazzi equations for surfaces in Minkowski three space are introduced. A split-quaternionic representation is used to identify the Gauss-Weingarten equations with a Lax pair representation. This Lax pair representaion is calculated and given explicitly. …Journal of Mathematics and Statistics, Vol. 6, Issue 1 · 31 Mar 2010 · 7,725 accessesView PDFCite