| dc.contributor.author | Miškinis, Paulius | |
| dc.date.accessioned | 2023-09-18T19:37:41Z | |
| dc.date.available | 2023-09-18T19:37:41Z | |
| dc.date.issued | 2013 | |
| dc.identifier.issn | 1815-0659 | |
| dc.identifier.other | (BIS)VGT02-000026063 | |
| dc.identifier.uri | https://etalpykla.vilniustech.lt/handle/123456789/141426 | |
| 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. | eng |
| dc.format | PDF | |
| dc.format.extent | p. [1-19] | |
| dc.format.medium | tekstas / txt | |
| dc.language.iso | eng | |
| dc.relation.isreferencedby | Science Citation Index Expanded (Web of Science) | |
| dc.relation.isreferencedby | Scopus | |
| dc.relation.isreferencedby | MathSciNet | |
| dc.relation.isreferencedby | Zentralblatt MATH (zbMATH) | |
| dc.source.uri | http://www.emis.de/journals/SIGMA/2013/016/sigma13-016.pdf | |
| dc.title | A generalization of the Hopf-Cole transformation | |
| dc.type | Straipsnis Web of Science DB / Article in Web of Science DB | |
| dcterms.accessRights | IDS Number: 099DL | |
| dcterms.references | 43 | |
| dc.type.pubtype | S1 - Straipsnis Web of Science DB / Web of Science DB article | |
| dc.contributor.institution | Vilniaus Gedimino technikos universitetas | |
| dc.contributor.faculty | Fundamentinių mokslų fakultetas / Faculty of Fundamental Sciences | |
| dc.subject.researchfield | N 001 - Matematika / Mathematics | |
| dc.subject.en | Nonlocality | |
| dc.subject.en | Nonlinearity | |
| dc.subject.en | Diffusion equation | |
| dc.subject.en | Burgers equation | |
| dcterms.sourcetitle | Symmetry, integrability and geometry: methods and applications (SIGMA) | |
| dc.description.issue | [no.] 016 | |
| dc.description.volume | Vol. 9 | |
| dc.publisher.name | National Academy of Sciences of Ukraine | |
| dc.publisher.city | Kyiv | |
| dc.identifier.doi | 000315599900001 | |
| dc.identifier.doi | 10.3842/SIGMA.2013.016 | |
| dc.identifier.elaba | 4013999 | |
