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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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Date: | 2006 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
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Інститут математики НАН України
2006
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/146065 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862654378041671680 |
|---|---|
| author | Calogero, F. Sommacal, M. |
| author_facet | Calogero, F. Sommacal, M. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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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| first_indexed | 2025-12-02T00:25:20Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-146065 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-02T00:25:20Z |
| publishDate | 2006 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | 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 |
| spellingShingle | Solvable nonlinear evolution PDEs in multidimensional space Calogero, F. Sommacal, M. |
| title | 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_short | Solvable nonlinear evolution PDEs in multidimensional space |
| title_sort | solvable nonlinear evolution pdes in multidimensional space |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/146065 |
| work_keys_str_mv | AT calogerof solvablenonlinearevolutionpdesinmultidimensionalspace AT sommacalm solvablenonlinearevolutionpdesinmultidimensionalspace |