Extended symmetry analysis of generalized Burgers equations
In: Journal of Mathematical Physics ; volume 58, issue 10 ; ISSN 0022-2488 1089-7658, 2017
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Zugriff:
Using enhanced classification techniques, we carry out the extended symmetry analysis of the class of generalized Burgers equations of the form ut + uux + f(t, x)uxx = 0. This enhances all the previous results on symmetries of these equations and includes the description of admissible transformations, Lie symmetries, Lie and nonclassical reductions, hidden symmetries, conservation laws, potential admissible transformations, and potential symmetries. The study is based on the fact that the class is normalized, and its equivalence group is finite-dimensional.
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Extended symmetry analysis of generalized Burgers equations
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Autor/in / Beteiligte Person: | Pocheketa, Oleksandr A. ; Popovych, Roman O. ; Austrian Science Fund |
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Zeitschrift: | Journal of Mathematical Physics ; volume 58, issue 10 ; ISSN 0022-2488 1089-7658, 2017 |
Veröffentlichung: | AIP Publishing, 2017 |
Medientyp: | academicJournal |
DOI: | 10.1063/1.5004134 |
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