Наукова електронна бібліотека
періодичних видань НАН України
періодичних видань НАН України
Nonlocal Symmetries and Generation of Solutions for Partial Differential Equations
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- Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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- Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3
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| dc.contributor.author | Tychynin, V. | |
| dc.contributor.author | Petrova, O. | |
| dc.contributor.author | Tertyshnyk, O. | |
| dc.date.accessioned | 2019-02-16T08:11:35Z | |
| dc.date.available | 2019-02-16T08:11:35Z | |
| dc.date.issued | 2007 | |
| dc.identifier.citation | Nonlocal Symmetries and Generation of Solutions for Partial Differential Equations / V. Tychynin, O. Petrova, O. Tertyshnyk // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 40 назв. — англ. | uk_UA |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | 2000 Mathematics Subject Classification: 35A30; 35K55; 35K57; 35L70 | |
| dc.identifier.uri | http://dspace.nbuv.gov.ua/handle/123456789/147789 | |
| dc.description.abstract | We have constructed new formulae for generation of solutions for the nonlinear heat equation and for the Burgers equation that are based on linearizing nonlocal transformations and on nonlocal symmetries of linear equations. Found nonlocal symmetries and formulae of nonlocal nonlinear superposition of solutions of these equations were used then for construction of chains of exact solutions. Linearization by means of the Legendre transformations of a second-order PDE with three independent variables allowed to obtain nonlocal superposition formulae for solutions of this equation, and to generate new solutions from group invariant solutions of a linear equation. | uk_UA |
| dc.description.sponsorship | The authors would like to thank the referees for helpful suggestions and comment. | uk_UA |
| dc.language.iso | en | uk_UA |
| dc.publisher | Інститут математики НАН України | uk_UA |
| dc.relation.ispartof | Symmetry, Integrability and Geometry: Methods and Applications | |
| dc.title | Nonlocal Symmetries and Generation of Solutions for Partial Differential Equations | uk_UA |
| dc.type | Article | uk_UA |
| dc.status | published earlier | uk_UA |
