A formula for symmetry recursion operators from non-variational symmetries of partial differential equations
Abstract An explicit formula to find symmetry recursion operators for partial differential equations (PDEs) is obtained from new results connecting variational integrating factors and non-variational symmetries. The formula is special case of a general formula that produces a pre-symplectic operator...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Anco, Stephen C. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2021 |
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| Schlagwörter: |
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| Anmerkung: |
© The Author(s), under exclusive licence to Springer Nature B.V. 2021 |
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| Übergeordnetes Werk: |
Enthalten in: Letters in mathematical physics - Springer Netherlands, 1975, 111(2021), 3 vom: 20. Mai |
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| Übergeordnetes Werk: |
volume:111 ; year:2021 ; number:3 ; day:20 ; month:05 |
| Links: |
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| DOI / URN: |
10.1007/s11005-021-01413-1 |
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| 520 | |a Abstract An explicit formula to find symmetry recursion operators for partial differential equations (PDEs) is obtained from new results connecting variational integrating factors and non-variational symmetries. The formula is special case of a general formula that produces a pre-symplectic operator from a non-gradient adjoint-symmetry. These formulas are illustrated by several examples of linear PDEs and integrable nonlinear PDEs. Additionally, a classification of quasilinear second-order PDEs admitting a multiplicative symmetry recursion operator through the first formula is presented. | ||
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10.1007/s11005-021-01413-1 doi (DE-627)OLC2125594749 (DE-He213)s11005-021-01413-1-p DE-627 ger DE-627 rakwb eng 530 VZ Anco, Stephen C. verfasserin (orcid)0000-0002-2125-3627 aut A formula for symmetry recursion operators from non-variational symmetries of partial differential equations 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2021 Abstract An explicit formula to find symmetry recursion operators for partial differential equations (PDEs) is obtained from new results connecting variational integrating factors and non-variational symmetries. The formula is special case of a general formula that produces a pre-symplectic operator from a non-gradient adjoint-symmetry. These formulas are illustrated by several examples of linear PDEs and integrable nonlinear PDEs. Additionally, a classification of quasilinear second-order PDEs admitting a multiplicative symmetry recursion operator through the first formula is presented. Symmetry Non-variational Adjoint-symmetry Multiplier Non-multiplier Recursion operator Hamiltonian operator Symplectic operator Wang, Bao aut Enthalten in Letters in mathematical physics Springer Netherlands, 1975 111(2021), 3 vom: 20. Mai (DE-627)129436666 (DE-600)193974-9 (DE-576)014807467 0377-9017 nnns volume:111 year:2021 number:3 day:20 month:05 https://doi.org/10.1007/s11005-021-01413-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT GBV_ILN_22 GBV_ILN_2409 GBV_ILN_4310 AR 111 2021 3 20 05 |
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10.1007/s11005-021-01413-1 doi (DE-627)OLC2125594749 (DE-He213)s11005-021-01413-1-p DE-627 ger DE-627 rakwb eng 530 VZ Anco, Stephen C. verfasserin (orcid)0000-0002-2125-3627 aut A formula for symmetry recursion operators from non-variational symmetries of partial differential equations 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2021 Abstract An explicit formula to find symmetry recursion operators for partial differential equations (PDEs) is obtained from new results connecting variational integrating factors and non-variational symmetries. The formula is special case of a general formula that produces a pre-symplectic operator from a non-gradient adjoint-symmetry. These formulas are illustrated by several examples of linear PDEs and integrable nonlinear PDEs. Additionally, a classification of quasilinear second-order PDEs admitting a multiplicative symmetry recursion operator through the first formula is presented. Symmetry Non-variational Adjoint-symmetry Multiplier Non-multiplier Recursion operator Hamiltonian operator Symplectic operator Wang, Bao aut Enthalten in Letters in mathematical physics Springer Netherlands, 1975 111(2021), 3 vom: 20. Mai (DE-627)129436666 (DE-600)193974-9 (DE-576)014807467 0377-9017 nnns volume:111 year:2021 number:3 day:20 month:05 https://doi.org/10.1007/s11005-021-01413-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT GBV_ILN_22 GBV_ILN_2409 GBV_ILN_4310 AR 111 2021 3 20 05 |
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10.1007/s11005-021-01413-1 doi (DE-627)OLC2125594749 (DE-He213)s11005-021-01413-1-p DE-627 ger DE-627 rakwb eng 530 VZ Anco, Stephen C. verfasserin (orcid)0000-0002-2125-3627 aut A formula for symmetry recursion operators from non-variational symmetries of partial differential equations 2021 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © The Author(s), under exclusive licence to Springer Nature B.V. 2021 Abstract An explicit formula to find symmetry recursion operators for partial differential equations (PDEs) is obtained from new results connecting variational integrating factors and non-variational symmetries. The formula is special case of a general formula that produces a pre-symplectic operator from a non-gradient adjoint-symmetry. These formulas are illustrated by several examples of linear PDEs and integrable nonlinear PDEs. Additionally, a classification of quasilinear second-order PDEs admitting a multiplicative symmetry recursion operator through the first formula is presented. Symmetry Non-variational Adjoint-symmetry Multiplier Non-multiplier Recursion operator Hamiltonian operator Symplectic operator Wang, Bao aut Enthalten in Letters in mathematical physics Springer Netherlands, 1975 111(2021), 3 vom: 20. Mai (DE-627)129436666 (DE-600)193974-9 (DE-576)014807467 0377-9017 nnns volume:111 year:2021 number:3 day:20 month:05 https://doi.org/10.1007/s11005-021-01413-1 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-PHY SSG-OPC-MAT GBV_ILN_22 GBV_ILN_2409 GBV_ILN_4310 AR 111 2021 3 20 05 |
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Abstract An explicit formula to find symmetry recursion operators for partial differential equations (PDEs) is obtained from new results connecting variational integrating factors and non-variational symmetries. The formula is special case of a general formula that produces a pre-symplectic operator from a non-gradient adjoint-symmetry. These formulas are illustrated by several examples of linear PDEs and integrable nonlinear PDEs. Additionally, a classification of quasilinear second-order PDEs admitting a multiplicative symmetry recursion operator through the first formula is presented. © The Author(s), under exclusive licence to Springer Nature B.V. 2021 |
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Abstract An explicit formula to find symmetry recursion operators for partial differential equations (PDEs) is obtained from new results connecting variational integrating factors and non-variational symmetries. The formula is special case of a general formula that produces a pre-symplectic operator from a non-gradient adjoint-symmetry. These formulas are illustrated by several examples of linear PDEs and integrable nonlinear PDEs. Additionally, a classification of quasilinear second-order PDEs admitting a multiplicative symmetry recursion operator through the first formula is presented. © The Author(s), under exclusive licence to Springer Nature B.V. 2021 |
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Abstract An explicit formula to find symmetry recursion operators for partial differential equations (PDEs) is obtained from new results connecting variational integrating factors and non-variational symmetries. The formula is special case of a general formula that produces a pre-symplectic operator from a non-gradient adjoint-symmetry. These formulas are illustrated by several examples of linear PDEs and integrable nonlinear PDEs. Additionally, a classification of quasilinear second-order PDEs admitting a multiplicative symmetry recursion operator through the first formula is presented. © The Author(s), under exclusive licence to Springer Nature B.V. 2021 |
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<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>01000naa a22002652 4500</leader><controlfield tag="001">OLC2125594749</controlfield><controlfield tag="003">DE-627</controlfield><controlfield tag="005">20230505115908.0</controlfield><controlfield tag="007">tu</controlfield><controlfield tag="008">230505s2021 xx ||||| 00| ||eng c</controlfield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/s11005-021-01413-1</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-627)OLC2125594749</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-He213)s11005-021-01413-1-p</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-627</subfield><subfield code="b">ger</subfield><subfield code="c">DE-627</subfield><subfield code="e">rakwb</subfield></datafield><datafield tag="041" ind1=" " ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="082" ind1="0" ind2="4"><subfield code="a">530</subfield><subfield code="q">VZ</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Anco, Stephen C.</subfield><subfield code="e">verfasserin</subfield><subfield code="0">(orcid)0000-0002-2125-3627</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">A formula for symmetry recursion operators from non-variational symmetries of partial differential equations</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="c">2021</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="a">Text</subfield><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="a">ohne Hilfsmittel zu benutzen</subfield><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="a">Band</subfield><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">© The Author(s), under exclusive licence to Springer Nature B.V. 2021</subfield></datafield><datafield tag="520" ind1=" " ind2=" "><subfield code="a">Abstract An explicit formula to find symmetry recursion operators for partial differential equations (PDEs) is obtained from new results connecting variational integrating factors and non-variational symmetries. 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