A Generalization of the Hopf-Cole Transformation

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dc.contributor.authorMiškinis, P.
dc.date.accessioned2019-02-19T18:59:53Z
dc.date.available2019-02-19T18:59:53Z
dc.date.issued2013
dc.description.abstractA generalization of the Hopf-Cole transformation and its relation to the Burgers equation of integer order and the diffusion equation with quadratic nonlinearity are discussed. The explicit form of a particular analytical solution is presented. The existence of the travelling wave solution and the interaction of nonlocal perturbation are considered. The nonlocal generalizations of the one-dimensional diffusion equation with quadratic nonlinearity and of the Burgers equation are analyzed.uk_UA
dc.description.sponsorshipThis paper is a contribution to the Special Issue “Geometrical Methods in Mathematical Physics”. The full collection is available at http://www.emis.de/journals/SIGMA/GMMP2012.html. The author would like to express his gratitude to Professors B.A. Dubrovin, M. Pavlov and L. Alaniya for the invitation and kind hospitality during the Conference “Geometrical Methods in Mathematical Physics” (Moscow State University, December 12–17, 2011).uk_UA
dc.identifier.citationA Generalization of the Hopf-Cole Transformation / P. Miškinis // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 43 назв. — англ.uk_UA
dc.identifier.issn1815-0659
dc.identifier.other2010 Mathematics Subject Classification: 26A33; 35K55; 45K05
dc.identifier.otherDOI: http://dx.doi.org/10.3842/SIGMA.2013.016
dc.identifier.urihttps://nasplib.isofts.kiev.ua/handle/123456789/149222
dc.language.isoenuk_UA
dc.publisherІнститут математики НАН Україниuk_UA
dc.relation.ispartofSymmetry, Integrability and Geometry: Methods and Applications
dc.statuspublished earlieruk_UA
dc.titleA Generalization of the Hopf-Cole Transformationuk_UA
dc.typeArticleuk_UA

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Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9, випуск за цей рік