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arXiv · 0705.2889

On Transformations of the Rabelo Equations

Anton Sakovich·Sergei Sakovich
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Abstract

We study four distinct second-order nonlinear equations of Rabelo which describe pseudospherical surfaces. By transforming these equations to the constant-characteristic form we relate them to some well-studied integrable equations. Two of the Rabelo equations are found to be related to the sine-Gordon equation. The other two are transformed into a linear equation and the Liouville equation, and in this way their general solutions are obtained.

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Anton Sakovich, Sergei Sakovich. 2007-09-03. On Transformations of the Rabelo Equations. https://doi.org/10.3842/sigma.2007.086

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