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A reciprocal transformation for the constant astigmatism equation

Symmetry, Integrability and Geometry: Methods and Applications (SIGMA) (2014) 10
DOI: 10.3842/SIGMA.2014.091
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Abstract

We introduce a nonlocal transformation to generate exact solutions of the constant astigmatism equation zyy + (1/z)xx + 2 = 0. The transformation is related to the special case of the famous Bäcklund transformation of the sine-Gordon equation with the Bäcklund parameter λ = ± 1. It is also a nonlocal symmetry.

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APA

Hlaváč, A., & Marvan, M. (2014). A reciprocal transformation for the constant astigmatism equation. Symmetry, Integrability and Geometry: Methods and Applications (SIGMA), 10. https://doi.org/10.3842/SIGMA.2014.091

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