Separation of variables in the two-dimensional wave equation with potential
Vernadsky National Library of Ukraine
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Title |
Separation of variables in the two-dimensional wave equation with potential
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Creator |
Zhdanov, R.Z.
Revenko, I.V. Fushchych, W.I. |
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Subject |
Статті
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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.
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Date |
2019-06-18T20:06:03Z
2019-06-18T20:06:03Z 1994 |
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Type |
Article
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Identifier |
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 |
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Language |
en
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Relation |
Український математичний журнал
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Publisher |
Інститут математики НАН України
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