Spacelike Weingarten surfaces in \(R_1^3\) and the sine-Gordon equation (Q1380361)
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scientific article; zbMATH DE number 1123601
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Spacelike Weingarten surfaces in \(R_1^3\) and the sine-Gordon equation |
scientific article; zbMATH DE number 1123601 |
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Spacelike Weingarten surfaces in \(R_1^3\) and the sine-Gordon equation (English)
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31 March 1998
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Weingarten surfaces in the Minkowski space \(\mathbb{R}^3_1\) satisfy \(K+2mH =m^2 +l^2\) \((l\) and \(m\) being constants) are related to the sinh-Gordon equation \(\Phi_{uu}- \Phi_{vv}= -\sin\Phi\) by using Tschebyscheff coordinates. New Weingarten surfaces can be constructed from a given one by means of generalized Bianchi-Darboux transformations.
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Bianchi-Darboux transform
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Chebyshev coordinates
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Weingarten surface
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