On Transformations of the Rabelo Equations

Details On Transformations of the Rabelo Equations On Transformations of the Rabelo Equations

2007-05-20

arxiv.org/abs/0705.2889v2

SIGMA 3 (2007), 086, 8 pages

Nonlinear Sciences

Exactly Solvable and Integrable Systems

This is a contribution to the Proc. of the Seventh International Conference ''Symmetry in Nonlinear Mathematical Physics'' (Ju

Scientific paper

10.3842/SIGMA.2007.086

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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