Separation of variables in the two-dimensional wave equation with potential
The paper is devoted to solution of a problem of separation of variables in the wave equation utt−uxx+V(x)u=0. We give a complete classification of potentials V(x) for which this equation admits a nontrivial separation of variables. Furthermore, we obtain all coordinate systems that provide separabi...
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| Дата: | 1994 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
1994
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| Назва видання: | Український математичний журнал |
| Теми: | |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/156751 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Separation of variables in the two-dimensional wave equation with potential / R.Z. Zhdanov, I.V. Revenko, W.I. Fushchych // Український математичний журнал. — 1994. — Т. 46, № 10. — С. 1343–1361. — Бібліогр.: 19 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-156751 |
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dspace |
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irk-123456789-1567512019-06-29T20:40:15Z Separation of variables in the two-dimensional wave equation with potential Zhdanov, R.Z. Revenko, I.V. Fushchych, W.I. Статті The paper is devoted to solution of a problem of separation of variables in the wave equation utt−uxx+V(x)u=0. We give a complete classification of potentials V(x) for which this equation admits a nontrivial separation of variables. Furthermore, we obtain all coordinate systems that provide separability of the equation considered. 1994 Article Separation of variables in the two-dimensional wave equation with potential / R.Z. Zhdanov, I.V. Revenko, W.I. Fushchych // Український математичний журнал. — 1994. — Т. 46, № 10. — С. 1343–1361. — Бібліогр.: 19 назв. — англ. 1027-3190 http://dspace.nbuv.gov.ua/handle/123456789/156751 517.944:519.46 en Український математичний журнал Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| topic |
Статті Статті |
| spellingShingle |
Статті Статті Zhdanov, R.Z. Revenko, I.V. Fushchych, W.I. Separation of variables in the two-dimensional wave equation with potential Український математичний журнал |
| description |
The paper is devoted to solution of a problem of separation of variables in the wave equation utt−uxx+V(x)u=0. We give a complete classification of potentials V(x) for which this equation admits a nontrivial separation of variables. Furthermore, we obtain all coordinate systems that provide separability of the equation considered. |
| format |
Article |
| author |
Zhdanov, R.Z. Revenko, I.V. Fushchych, W.I. |
| author_facet |
Zhdanov, R.Z. Revenko, I.V. Fushchych, W.I. |
| author_sort |
Zhdanov, R.Z. |
| title |
Separation of variables in the two-dimensional wave equation with potential |
| title_short |
Separation of variables in the two-dimensional wave equation with potential |
| title_full |
Separation of variables in the two-dimensional wave equation with potential |
| title_fullStr |
Separation of variables in the two-dimensional wave equation with potential |
| title_full_unstemmed |
Separation of variables in the two-dimensional wave equation with potential |
| title_sort |
separation of variables in the two-dimensional wave equation with potential |
| publisher |
Інститут математики НАН України |
| publishDate |
1994 |
| topic_facet |
Статті |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/156751 |
| citation_txt |
Separation of variables in the two-dimensional wave equation with potential / R.Z. Zhdanov,
I.V. Revenko, W.I. Fushchych // Український математичний журнал. — 1994. — Т. 46, № 10. — С. 1343–1361. — Бібліогр.: 19 назв. — англ. |
| series |
Український математичний журнал |
| work_keys_str_mv |
AT zhdanovrz separationofvariablesinthetwodimensionalwaveequationwithpotential AT revenkoiv separationofvariablesinthetwodimensionalwaveequationwithpotential AT fushchychwi separationofvariablesinthetwodimensionalwaveequationwithpotential |
| first_indexed |
2023-05-20T17:49:54Z |
| last_indexed |
2023-05-20T17:49:54Z |
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1796154184880357376 |