Nonlocal Symmetries and Generation of Solutions for Partial Differential Equations

dc.contributor.authorTychynin, V.
dc.contributor.authorPetrova, O.
dc.contributor.authorTertyshnyk, O.
dc.date.accessioned2019-02-16T08:11:35Z
dc.date.available2019-02-16T08:11:35Z
dc.date.issued2007
dc.description.abstractWe 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.sponsorshipThe authors would like to thank the referees for helpful suggestions and comment.uk_UA
dc.identifier.citationNonlocal 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.issn1815-0659
dc.identifier.other2000 Mathematics Subject Classification: 35A30; 35K55; 35K57; 35L70
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/147789
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleNonlocal Symmetries and Generation of Solutions for Partial Differential Equationsuk_UA
dc.typeArticleuk_UA

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