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The Klein-Gordon Equation and Differential Substitutions of the Form v=φ(u,ux,uy)
We present the complete classification of equations of the form uxy=f(u,ux,uy) and the Klein-Gordon equations vxy=F(v) connected with one another by differential substitutions v=φ(u,ux,uy) such that φuxφuy≠0 over the ring of complex-valued variables.
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| Language: | English |
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Інститут математики НАН України
2012
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/148676 |
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irk-123456789-1486762019-02-19T01:27:58Z The Klein-Gordon Equation and Differential Substitutions of the Form v=φ(u,ux,uy) Kuznetsova, M.N. Pekcan, A. Zhiber, A.V. We present the complete classification of equations of the form uxy=f(u,ux,uy) and the Klein-Gordon equations vxy=F(v) connected with one another by differential substitutions v=φ(u,ux,uy) such that φuxφuy≠0 over the ring of complex-valued variables. 2012 Article The Klein-Gordon Equation and Differential Substitutions of the Form v=φ(u,ux,uy) / M.N. Kuznetsova, A. Pekcan, A.V. Zhiber // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 20 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 35L70 DOI: http://dx.doi.org/10.3842/SIGMA.2012.090 http://dspace.nbuv.gov.ua/handle/123456789/148676 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 present the complete classification of equations of the form uxy=f(u,ux,uy) and the Klein-Gordon equations vxy=F(v) connected with one another by differential substitutions v=φ(u,ux,uy) such that φuxφuy≠0 over the ring of complex-valued variables. |
| format |
Article |
| author |
Kuznetsova, M.N. Pekcan, A. Zhiber, A.V. |
| spellingShingle |
Kuznetsova, M.N. Pekcan, A. Zhiber, A.V. The Klein-Gordon Equation and Differential Substitutions of the Form v=φ(u,ux,uy) Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Kuznetsova, M.N. Pekcan, A. Zhiber, A.V. |
| author_sort |
Kuznetsova, M.N. |
| title |
The Klein-Gordon Equation and Differential Substitutions of the Form v=φ(u,ux,uy) |
| title_short |
The Klein-Gordon Equation and Differential Substitutions of the Form v=φ(u,ux,uy) |
| title_full |
The Klein-Gordon Equation and Differential Substitutions of the Form v=φ(u,ux,uy) |
| title_fullStr |
The Klein-Gordon Equation and Differential Substitutions of the Form v=φ(u,ux,uy) |
| title_full_unstemmed |
The Klein-Gordon Equation and Differential Substitutions of the Form v=φ(u,ux,uy) |
| title_sort |
klein-gordon equation and differential substitutions of the form v=φ(u,ux,uy) |
| publisher |
Інститут математики НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148676 |
| citation_txt |
The Klein-Gordon Equation and Differential Substitutions of the Form v=φ(u,ux,uy) / M.N. Kuznetsova, A. Pekcan, A.V. Zhiber // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 20 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
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| first_indexed |
2023-05-20T17:31:11Z |
| last_indexed |
2023-05-20T17:31:11Z |
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1796153472356188160 |