A Reciprocal Transformation for the Constant Astigmatism Equation

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19610%2F14%3A%230000453" target="_blank" >RIV/47813059:19610/14:#0000453 - isvavai.cz</a>
Result on the web
<a href="http://www.emis.de/journals/SIGMA/2014/091/" target="_blank" >http://www.emis.de/journals/SIGMA/2014/091/</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.3842/SIGMA.2014.091" target="_blank" >10.3842/SIGMA.2014.091</a>

Result language
angličtina
Original language name
A Reciprocal Transformation for the Constant Astigmatism Equation
Original language description
We introduce a nonlocal transformation to generate exact solutions of the constant astigmatism equation z(yy) + (1/z)(xx) + 2 = 0. The transformation is related to the special case of the famous Backlund transformation of the sine-Gordon equation with the Backlund parameter lambda = +/- 1. It is also a nonlocal symmetry.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BA - General mathematics
OECD FORD branch
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Project
<a href="/en/project/GAP201%2F11%2F0356" target="_blank" >GAP201/11/0356: Riemannian, pseudo-Riemannian and affine differential geometry</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical
Symmetry, Integrability and Geometry - Methods and Applications
ISSN
1815-0659
e-ISSN
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Volume of the periodical
10
Issue of the periodical within the volume
August 2014
Country of publishing house
UA - UKRAINE
Number of pages
20
Pages from-to
"091-1"-"091-20"
UT code for WoS article
000341764100001
EID of the result in the Scopus database
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