Lie and non-Lie Symmetries: Theory and Applications for Solving Nonlinear Models
Since 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-kn...
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| Formatua: | Online |
| Hizkuntza: | ingelesa |
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MDPI - Multidisciplinary Digital Publishing Institute
2021
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| Gaiak: | |
| Sarrera elektronikoa: | 24094 |
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| _version_ | 1869522675442909184 |
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| author | Roman M. Cherniha (Ed.) |
| author_browse | Roman M. Cherniha (Ed.) |
| author_facet | Roman M. Cherniha (Ed.) |
| author_sort | Roman M. Cherniha (Ed.) |
| collection | Directory of Open Access Books |
| description | Since 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). |
| format | Online |
| id | doab-20.500.12854ir-51684 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-516842023-12-20T18:40:35Z Lie and non-Lie Symmetries: Theory and Applications for Solving Nonlinear Models Roman M. Cherniha (Ed.) QA1-939 Lie algebra/group invariance algebra of nonlinear PDE Lie symmetry nonlinear boundary-value problem (generalized) conditional symmetry symmetry of (initial) boundary-value problem invariant solution exact solution non-Lie solution Q-conditional symmetry representation of Lie algebra nonclassical symmetry invariance algebra of PDE bic Book Industry Communication::P Mathematics & science Since 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). 2021-02-11T17:43:01Z 2021-02-11T17:43:01Z 2017-10-25 13:19:05 2017 book 24094 9783038425274 9783038425267 https://directory.doabooks.org/handle/20.500.12854/51684 eng application/octet-stream Attribution-NonCommercial-NoDerivatives 4.0 International http://sci.fo/3y1 http://www.mdpi.com/books/pdfview/book/369 MDPI - Multidisciplinary Digital Publishing Institute 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783038425274 9783038425267 XII, 414 open access |
| spellingShingle | QA1-939 Lie algebra/group invariance algebra of nonlinear PDE Lie symmetry nonlinear boundary-value problem (generalized) conditional symmetry symmetry of (initial) boundary-value problem invariant solution exact solution non-Lie solution Q-conditional symmetry representation of Lie algebra nonclassical symmetry invariance algebra of PDE bic Book Industry Communication::P Mathematics & science Roman M. Cherniha (Ed.) Lie and non-Lie Symmetries: Theory and Applications for Solving Nonlinear Models |
| title | Lie and non-Lie Symmetries: Theory and Applications for Solving Nonlinear Models |
| title_full | Lie and non-Lie Symmetries: Theory and Applications for Solving Nonlinear Models |
| title_fullStr | Lie and non-Lie Symmetries: Theory and Applications for Solving Nonlinear Models |
| title_full_unstemmed | Lie and non-Lie Symmetries: Theory and Applications for Solving Nonlinear Models |
| title_short | Lie and non-Lie Symmetries: Theory and Applications for Solving Nonlinear Models |
| title_sort | lie and non lie symmetries theory and applications for solving nonlinear models |
| topic | QA1-939 Lie algebra/group invariance algebra of nonlinear PDE Lie symmetry nonlinear boundary-value problem (generalized) conditional symmetry symmetry of (initial) boundary-value problem invariant solution exact solution non-Lie solution Q-conditional symmetry representation of Lie algebra nonclassical symmetry invariance algebra of PDE bic Book Industry Communication::P Mathematics & science |
| topic_facet | QA1-939 Lie algebra/group invariance algebra of nonlinear PDE Lie symmetry nonlinear boundary-value problem (generalized) conditional symmetry symmetry of (initial) boundary-value problem invariant solution exact solution non-Lie solution Q-conditional symmetry representation of Lie algebra nonclassical symmetry invariance algebra of PDE bic Book Industry Communication::P Mathematics & science |
| url | 24094 |
| work_keys_str_mv | AT romanmchernihaed lieandnonliesymmetriestheoryandapplicationsforsolvingnonlinearmodels |