Solvable nonlinear evolution PDEs in multidimensional space
A class of solvable (systems of) nonlinear evolution PDEs in multidimensional space is discussed. We focus on a rotation-invariant system of PDEs of Schrödinger type and on a relativistically-invariant system of PDEs of Klein-Gordon type. Isochronous variants of these evolution PDEs are also conside...
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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Datum: | 2006 |
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| Format: | Artikel |
| Sprache: | English |
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Інститут математики НАН України
2006
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/146065 |
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| Zitieren: | Solvable nonlinear evolution PDEs in multidimensional space / F. Calogero, M. Sommacal // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 7 назв. — англ. |
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Calogero, F. Sommacal, M. 2019-02-06T17:16:35Z 2019-02-06T17:16:35Z 2006 Solvable nonlinear evolution PDEs in multidimensional space / F. Calogero, M. Sommacal // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 7 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 35G25; 35Q40; 37M05 https://nasplib.isofts.kiev.ua/handle/123456789/146065 A class of solvable (systems of) nonlinear evolution PDEs in multidimensional space is discussed. We focus on a rotation-invariant system of PDEs of Schrödinger type and on a relativistically-invariant system of PDEs of Klein-Gordon type. Isochronous variants of these evolution PDEs are also considered. This paper is a contribution to the Vadim Kuznetsov Memorial Issue “Integrable Systems and Related Topics”. The final correction of this paper was done while both authors were taking part in a Scientific Gathering on Integrable Systems and the Transition to Chaos at the Centro International de Ciencias in Cuernavaca. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Solvable nonlinear evolution PDEs in multidimensional space Article published earlier |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| title |
Solvable nonlinear evolution PDEs in multidimensional space |
| spellingShingle |
Solvable nonlinear evolution PDEs in multidimensional space Calogero, F. Sommacal, M. |
| title_short |
Solvable nonlinear evolution PDEs in multidimensional space |
| title_full |
Solvable nonlinear evolution PDEs in multidimensional space |
| title_fullStr |
Solvable nonlinear evolution PDEs in multidimensional space |
| title_full_unstemmed |
Solvable nonlinear evolution PDEs in multidimensional space |
| title_sort |
solvable nonlinear evolution pdes in multidimensional space |
| author |
Calogero, F. Sommacal, M. |
| author_facet |
Calogero, F. Sommacal, M. |
| publishDate |
2006 |
| language |
English |
| container_title |
Symmetry, Integrability and Geometry: Methods and Applications |
| publisher |
Інститут математики НАН України |
| format |
Article |
| description |
A class of solvable (systems of) nonlinear evolution PDEs in multidimensional space is discussed. We focus on a rotation-invariant system of PDEs of Schrödinger type and on a relativistically-invariant system of PDEs of Klein-Gordon type. Isochronous variants of these evolution PDEs are also considered.
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| issn |
1815-0659 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/146065 |
| citation_txt |
Solvable nonlinear evolution PDEs in multidimensional space / F. Calogero, M. Sommacal // Symmetry, Integrability and Geometry: Methods and Applications. — 2006. — Т. 2. — Бібліогр.: 7 назв. — англ. |
| work_keys_str_mv |
AT calogerof solvablenonlinearevolutionpdesinmultidimensionalspace AT sommacalm solvablenonlinearevolutionpdesinmultidimensionalspace |
| first_indexed |
2025-12-02T00:25:20Z |
| last_indexed |
2025-12-02T00:25:20Z |
| _version_ |
1850861225707044864 |