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arXiv · 1505.07189

Nonlinear d'Alembert formula for discrete pseudospherical surfaces

Shimpei Kobayashi
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Abstract

On the basis of loop group decompositions (Birkhoff decompositions), we give a discrete version of the nonlinear d'Alembert formula, a method of separation of variables of difference equations, for discrete constant negative Gauss curvature (pseudospherical) surfaces in Euclidean three space. We also compute two examples by this formula in detail.

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Shimpei Kobayashi. 2015-05-27. Nonlinear d'Alembert formula for discrete pseudospherical surfaces. https://arxiv.org/abs/1505.07189

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