A Generalization of the Hopf-Cole Transformation
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
A Generalization of the Hopf-Cole Transformation
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| Creator |
Miškinis, P.
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| Description |
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.
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| Date |
2019-02-19T18:59:53Z
2019-02-19T18:59:53Z 2013 |
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| Type |
Article
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| Identifier |
A Generalization of the Hopf-Cole Transformation / P. Miškinis // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 43 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 26A33; 35K55; 45K05 DOI: http://dx.doi.org/10.3842/SIGMA.2013.016 http://dspace.nbuv.gov.ua/handle/123456789/149222 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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