Geodesic
On Transformations of the Rabelo Equations
Symmetry, integrability and geometry: methods and applications, Tome 3 (2007) Cet article a éte moissonné depuis la source Math-Net.Ru

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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.
Keywords: nonlinear PDEs; transformations; integrability. 
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     author = {Anton Sakovich and Sergei Sakovich},
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Anton Sakovich; Sergei Sakovich. On Transformations of the Rabelo Equations. Symmetry, integrability and geometry: methods and applications, Tome 3 (2007). http://geodesic.mathdoc.fr/item/SIGMA_2007_3_a85/

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