A Reciprocal Transformation for the Constant Astigmatism Equation
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 symmetr...
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| Дата: | 2014 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2014
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/146605 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-146605 |
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dspace |
| spelling |
irk-123456789-1466052019-02-11T01:23:10Z A Reciprocal Transformation for the Constant Astigmatism Equation Hlaváč, A. Marvan, M. 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. 2014 Article 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. 1815-0659 2010 Mathematics Subject Classification: 53A05; 35A30; 35C05; 37K35 DOI:10.3842/SIGMA.2014.091 http://dspace.nbuv.gov.ua/handle/123456789/146605 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
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. |
| format |
Article |
| author |
Hlaváč, A. Marvan, M. |
| spellingShingle |
Hlaváč, A. Marvan, M. A Reciprocal Transformation for the Constant Astigmatism Equation Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Hlaváč, A. Marvan, M. |
| author_sort |
Hlaváč, A. |
| title |
A Reciprocal Transformation for the Constant Astigmatism Equation |
| title_short |
A Reciprocal Transformation for the Constant Astigmatism Equation |
| title_full |
A Reciprocal Transformation for the Constant Astigmatism Equation |
| title_fullStr |
A Reciprocal Transformation for the Constant Astigmatism Equation |
| title_full_unstemmed |
A Reciprocal Transformation for the Constant Astigmatism Equation |
| title_sort |
reciprocal transformation for the constant astigmatism equation |
| publisher |
Інститут математики НАН України |
| publishDate |
2014 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/146605 |
| citation_txt |
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. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT hlavaca areciprocaltransformationfortheconstantastigmatismequation AT marvanm areciprocaltransformationfortheconstantastigmatismequation AT hlavaca reciprocaltransformationfortheconstantastigmatismequation AT marvanm reciprocaltransformationfortheconstantastigmatismequation |
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2023-05-20T17:25:12Z |
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2023-05-20T17:25:12Z |
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1796153250958802944 |