A Reciprocal Transformation for the Constant Astigmatism Equation

dc.contributor.authorHlaváč, A.
dc.contributor.authorMarvan, M.
dc.date.accessioned2019-02-10T09:55:00Z
dc.date.available2019-02-10T09:55:00Z
dc.date.issued2014
dc.description.abstractWe 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.uk_UA
dc.description.sponsorshipWe are indebted to I.S. Krasil’shchik for reading the manuscript and valuable comments. A.H. was supported by Silesian University in Opava under the student grant project SGS/1/2011, M.M. was supported by GACR under project P201/11/0356.uk_UA
dc.identifier.citationA Reciprocal Transformation for the Constant Astigmatism Equation / A. Hlaváč, M. Marvan // Symmetry, Integrability and Geometry: Methods and Applications. — 2014. — Т. 10. — Бібліогр.: 31 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 53A05; 35A30; 35C05; 37K35
dc.identifier.otherDOI:10.3842/SIGMA.2014.091
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/146605
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleA Reciprocal Transformation for the Constant Astigmatism Equationuk_UA
dc.typeArticleuk_UA

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