Wronskian Addition Formula and Darboux-Pöschl-Teller Potentials
For the famous Darboux-Pöschl-Teller equation, we present new wronskian representation both for the potential and the related eigenfunctions. The simplest application of this new formula is the explicit description of dynamics of the DPT potentials and the action of the KdV hierarchy. The key point...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/645752 |
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| _version_ | 1832545611765776384 |
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| author | Pierre Gaillard Vladimir Matveev |
| author_facet | Pierre Gaillard Vladimir Matveev |
| author_sort | Pierre Gaillard |
| collection | DOAJ |
| description | For the famous Darboux-Pöschl-Teller equation, we present new wronskian representation both for the potential and the related eigenfunctions. The simplest application of this new formula is the explicit description of dynamics of the DPT potentials and the action of the KdV hierarchy. The key point of the proof is some evaluation formulas for special wronskian determinant. |
| format | Article |
| id | doaj-art-ecf6580ac0b444ca86282647de7671dc |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-ecf6580ac0b444ca86282647de7671dc2025-02-03T07:25:26ZengWileyJournal of Mathematics2314-46292314-47852013-01-01201310.1155/2013/645752645752Wronskian Addition Formula and Darboux-Pöschl-Teller PotentialsPierre Gaillard0Vladimir Matveev1Institut de Mathématiques de Bourgogne, UMR 5584 CNRS, Université de Bourgogne, Faculté des Sciences Mirande, 9 Avenue Alain Savary, BP 47870, 21078 Dijon Cedex, FranceInstitut de Mathématiques de Bourgogne, UMR 5584 CNRS, Université de Bourgogne, Faculté des Sciences Mirande, 9 Avenue Alain Savary, BP 47870, 21078 Dijon Cedex, FranceFor the famous Darboux-Pöschl-Teller equation, we present new wronskian representation both for the potential and the related eigenfunctions. The simplest application of this new formula is the explicit description of dynamics of the DPT potentials and the action of the KdV hierarchy. The key point of the proof is some evaluation formulas for special wronskian determinant.http://dx.doi.org/10.1155/2013/645752 |
| spellingShingle | Pierre Gaillard Vladimir Matveev Wronskian Addition Formula and Darboux-Pöschl-Teller Potentials Journal of Mathematics |
| title | Wronskian Addition Formula and Darboux-Pöschl-Teller Potentials |
| title_full | Wronskian Addition Formula and Darboux-Pöschl-Teller Potentials |
| title_fullStr | Wronskian Addition Formula and Darboux-Pöschl-Teller Potentials |
| title_full_unstemmed | Wronskian Addition Formula and Darboux-Pöschl-Teller Potentials |
| title_short | Wronskian Addition Formula and Darboux-Pöschl-Teller Potentials |
| title_sort | wronskian addition formula and darboux poschl teller potentials |
| url | http://dx.doi.org/10.1155/2013/645752 |
| work_keys_str_mv | AT pierregaillard wronskianadditionformulaanddarbouxposchltellerpotentials AT vladimirmatveev wronskianadditionformulaanddarbouxposchltellerpotentials |