A Generalization of the Hopf-Cole Transformation

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2013, том 9
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dc.contributor.author	Miškinis, P.
dc.date.accessioned	2019-02-19T18:59:53Z
dc.date.available	2019-02-19T18:59:53Z
dc.date.issued	2013
dc.identifier.citation	A 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.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 26A33; 35K55; 45K05
dc.identifier.other	DOI: http://dx.doi.org/10.3842/SIGMA.2013.016
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/149222
dc.description.abstract	A 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.sponsorship	This 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.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	A Generalization of the Hopf-Cole Transformation	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA