| 000 | 02650naaaa2200385uu 4500 | ||
|---|---|---|---|
| 001 | https://directory.doabooks.org/handle/20.500.12854/51684 | ||
| 005 | 20220220083443.0 | ||
| 020 | _a9783038425274 | ||
| 020 | _a9783038425267 | ||
| 041 | 0 | _aEnglish | |
| 042 | _adc | ||
| 100 | 1 |
_aRoman M. Cherniha (Ed.) _4auth |
|
| 245 | 1 | 0 | _aLie and non-Lie Symmetries: Theory and Applications for Solving Nonlinear Models |
| 260 |
_bMDPI - Multidisciplinary Digital Publishing Institute _c2017 |
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| 300 | _a1 electronic resource (XII, 414 p.) | ||
| 506 | 0 |
_aOpen Access _2star _fUnrestricted online access |
|
| 520 | _aSince the end of the 19th century when the prominent Norwegian mathematician Sophus Lie created the theory of Lie algebras and Lie groups and developed the method of their applications for solving differential equations, his theory and method have continuously been the research focus of many well-known mathematicians and physicists. This book is devoted to recent development in Lie theory and its applications for solving physically and biologically motivated equations and models. The book contains the articles published in two Special Issue of the journal Symmetry, which are devoted to analysis and classification of Lie algebras, which are invariance algebras of real-word models; Lie and conditional symmetry classification problems of nonlinear PDEs; the application of symmetry-based methods for finding new exact solutions of nonlinear PDEs (especially reaction-diffusion equations) arising in applications; the application of the Lie method for solving nonlinear initial and boundary-value problems (especially those for modelling processes with diffusion, heat transfer, and chemotaxis). | ||
| 540 |
_aCreative Commons _fhttps://creativecommons.org/licenses/by-nc-nd/4.0/ _2cc _4https://creativecommons.org/licenses/by-nc-nd/4.0/ |
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| 546 | _aEnglish | ||
| 653 | _aLie algebra/group | ||
| 653 | _ainvariance algebra of nonlinear PDE | ||
| 653 | _aLie symmetry | ||
| 653 | _anonlinear boundary-value problem | ||
| 653 | _a(generalized) conditional symmetry | ||
| 653 | _asymmetry of (initial) boundary-value problem | ||
| 653 | _ainvariant solution | ||
| 653 | _aexact solution | ||
| 653 | _anon-Lie solution | ||
| 653 | _aQ-conditional symmetry | ||
| 653 | _arepresentation of Lie algebra | ||
| 653 | _anonclassical symmetry | ||
| 653 | _ainvariance algebra of PDE | ||
| 856 | 4 | 0 |
_awww.oapen.org _uhttp://www.mdpi.com/books/pdfview/book/369 _70 _zDOAB: download the publication |
| 856 | 4 | 0 |
_awww.oapen.org _uhttps://directory.doabooks.org/handle/20.500.12854/51684 _70 _zDOAB: description of the publication |
| 999 |
_c76258 _d76258 |
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