A Reciprocal Transformation for the Constant Astigmatism Equation
Exactly Solvable and Integrable Systems
2014-08-28 v3 Differential Geometry
Abstract
We introduce a nonlocal transformation to generate exact solutions of the constant astigmatism equation . The transformation is related to the special case of the famous B\"acklund transformation of the sine-Gordon equation with the B\"acklund parameter . It is also a nonlocal symmetry.
Keywords
Cite
@article{arxiv.1111.2027,
title = {A Reciprocal Transformation for the Constant Astigmatism Equation},
author = {Adam Hlaváč and Michal Marvan},
journal= {arXiv preprint arXiv:1111.2027},
year = {2014}
}