Nonlocal Symmetries of Systems of Evolution Equations
We prove that any potential symmetry of a system of evolution equations reduces to a Lie symmetry through a nonlocal transformation of variables. This fact is in the core of our approach to computation of potential and more general nonlocal symmetries of systems of evolution equations having nontriv...
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2011/456784 |
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| _version_ | 1849473047077060608 |
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| author | Renat Zhdanov |
| author_facet | Renat Zhdanov |
| author_sort | Renat Zhdanov |
| collection | DOAJ |
| description | We prove that any potential symmetry of a system of evolution equations reduces to a Lie symmetry through a nonlocal transformation of variables. This fact is in the core of our approach to computation of potential and more general nonlocal symmetries of systems of evolution equations having nontrivial Lie symmetry. Several examples are considered. |
| format | Article |
| id | doaj-art-db38aae2532f42e7bd9089aa91136183 |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-db38aae2532f42e7bd9089aa911361832025-08-20T03:24:20ZengWileyAdvances in Mathematical Physics1687-91201687-91392011-01-01201110.1155/2011/456784456784Nonlocal Symmetries of Systems of Evolution EquationsRenat Zhdanov0BIO-key International, Research and Development Department, Eagan, MN 55123, USAWe prove that any potential symmetry of a system of evolution equations reduces to a Lie symmetry through a nonlocal transformation of variables. This fact is in the core of our approach to computation of potential and more general nonlocal symmetries of systems of evolution equations having nontrivial Lie symmetry. Several examples are considered.http://dx.doi.org/10.1155/2011/456784 |
| spellingShingle | Renat Zhdanov Nonlocal Symmetries of Systems of Evolution Equations Advances in Mathematical Physics |
| title | Nonlocal Symmetries of Systems of Evolution Equations |
| title_full | Nonlocal Symmetries of Systems of Evolution Equations |
| title_fullStr | Nonlocal Symmetries of Systems of Evolution Equations |
| title_full_unstemmed | Nonlocal Symmetries of Systems of Evolution Equations |
| title_short | Nonlocal Symmetries of Systems of Evolution Equations |
| title_sort | nonlocal symmetries of systems of evolution equations |
| url | http://dx.doi.org/10.1155/2011/456784 |
| work_keys_str_mv | AT renatzhdanov nonlocalsymmetriesofsystemsofevolutionequations |