Approximate Hamiltonian Symmetry Groups and Recursion Operators for Perturbed Evolution Equations
The method of approximate transformation groups, which was proposed by Baikov et al. (1988 and 1996), is extended on Hamiltonian and bi-Hamiltonian systems of evolution equations. Indeed, as a main consequence, this extended procedure is applied in order to compute the approximate conservation laws...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2013/568632 |
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| author | M. Nadjafikhah A. Mokhtary |
| author_facet | M. Nadjafikhah A. Mokhtary |
| author_sort | M. Nadjafikhah |
| collection | DOAJ |
| description | The method of approximate transformation groups, which was proposed by Baikov et al. (1988 and 1996), is extended on Hamiltonian and bi-Hamiltonian systems of evolution equations. Indeed, as a main consequence, this extended procedure is applied in order to compute the approximate conservation laws and approximate recursion operators corresponding to these types of equations. In particular, as an application, a comprehensive analysis of the problem of approximate conservation laws and approximate recursion operators associated to the Gardner equation with the small parameters is presented. |
| format | Article |
| id | doaj-art-ec896af1db9441eea38e1c33b6434b4f |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-ec896af1db9441eea38e1c33b6434b4f2025-02-03T06:47:24ZengWileyAdvances in Mathematical Physics1687-91201687-91392013-01-01201310.1155/2013/568632568632Approximate Hamiltonian Symmetry Groups and Recursion Operators for Perturbed Evolution EquationsM. Nadjafikhah0A. Mokhtary1School of Mathematics, Iran University of Science and Technology, Narmak, Tehran 1684613114, IranDepartment of Complementary Education, Payame Noor University, Tehran 19395-3697, IranThe method of approximate transformation groups, which was proposed by Baikov et al. (1988 and 1996), is extended on Hamiltonian and bi-Hamiltonian systems of evolution equations. Indeed, as a main consequence, this extended procedure is applied in order to compute the approximate conservation laws and approximate recursion operators corresponding to these types of equations. In particular, as an application, a comprehensive analysis of the problem of approximate conservation laws and approximate recursion operators associated to the Gardner equation with the small parameters is presented.http://dx.doi.org/10.1155/2013/568632 |
| spellingShingle | M. Nadjafikhah A. Mokhtary Approximate Hamiltonian Symmetry Groups and Recursion Operators for Perturbed Evolution Equations Advances in Mathematical Physics |
| title | Approximate Hamiltonian Symmetry Groups and Recursion Operators for Perturbed Evolution Equations |
| title_full | Approximate Hamiltonian Symmetry Groups and Recursion Operators for Perturbed Evolution Equations |
| title_fullStr | Approximate Hamiltonian Symmetry Groups and Recursion Operators for Perturbed Evolution Equations |
| title_full_unstemmed | Approximate Hamiltonian Symmetry Groups and Recursion Operators for Perturbed Evolution Equations |
| title_short | Approximate Hamiltonian Symmetry Groups and Recursion Operators for Perturbed Evolution Equations |
| title_sort | approximate hamiltonian symmetry groups and recursion operators for perturbed evolution equations |
| url | http://dx.doi.org/10.1155/2013/568632 |
| work_keys_str_mv | AT mnadjafikhah approximatehamiltoniansymmetrygroupsandrecursionoperatorsforperturbedevolutionequations AT amokhtary approximatehamiltoniansymmetrygroupsandrecursionoperatorsforperturbedevolutionequations |