A Reciprocal Transformation for the Constant Astigmatism Equation

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10
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Symmetry, Integrability and Geometry: Methods and Applications, 2014, том 10, випуск за цей рік
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dc.contributor.author	Hlaváč, A.
dc.contributor.author	Marvan, M.
dc.date.accessioned	2019-02-10T09:55:00Z
dc.date.available	2019-02-10T09:55:00Z
dc.date.issued	2014
dc.identifier.citation	A 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.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 53A05; 35A30; 35C05; 37K35
dc.identifier.other	DOI:10.3842/SIGMA.2014.091
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/146605
dc.description.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.	uk_UA
dc.description.sponsorship	We 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.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	A Reciprocal Transformation for the Constant Astigmatism Equation	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA