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Tau-functions and generalized integrable hierarchies
The tau-function formalism for a class of generalized ``zero-curvature'' integrable hierarchies of partial differential equations, is constructed. The class includes the Drinfel'd-Sokolov hierarchies. A direct relation between the variables of the zero-curvature formalism and the tau-...
| Autores principales: | , |
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| Lenguaje: | eng |
| Publicado: |
1993
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| Acceso en línea: | https://dx.doi.org/10.1007/BF02098021 http://cds.cern.ch/record/240350 |
| _version_ | 1780884918063071232 |
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| author | Hollowood, Timothy J. Miramontes, J.Luis |
| author_facet | Hollowood, Timothy J. Miramontes, J.Luis |
| author_sort | Hollowood, Timothy J. |
| collection | CERN |
| description | The tau-function formalism for a class of generalized ``zero-curvature'' integrable hierarchies of partial differential equations, is constructed. The class includes the Drinfel'd-Sokolov hierarchies. A direct relation between the variables of the zero-curvature formalism and the tau-functions is established. The formalism also clarifies the connection between the zero-curvature hierarchies and the Hirota-type hierarchies of Kac and Wakimoto. |
| id | cern-240350 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 1993 |
| record_format | invenio |
| spelling | cern-2403502023-03-14T17:13:09Zdoi:10.1007/BF02098021http://cds.cern.ch/record/240350engHollowood, Timothy J.Miramontes, J.LuisTau-functions and generalized integrable hierarchiesMathematical Physics and MathematicsParticle Physics - TheoryThe tau-function formalism for a class of generalized ``zero-curvature'' integrable hierarchies of partial differential equations, is constructed. The class includes the Drinfel'd-Sokolov hierarchies. A direct relation between the variables of the zero-curvature formalism and the tau-functions is established. The formalism also clarifies the connection between the zero-curvature hierarchies and the Hirota-type hierarchies of Kac and Wakimoto.The tau-function formalism for a class of generalized ``zero-curvature'' integrable hierarchies of partial differential equations, is constructed. The class includes the Drinfel'd-Sokolov hierarchies. A direct relation between the variables of the zero-curvature formalism and the tau-functions is established. The formalism also clarifies the connection between the zero-curvature hierarchies and the Hirota-type hierarchies of Kac and Wakimoto.hep-th/9208058OUTP-92-15-PCERN-TH-6594-92CERN-TH-6594-92OUTP-92-15-Poai:cds.cern.ch:2403501993 |
| spellingShingle | Mathematical Physics and Mathematics Particle Physics - Theory Hollowood, Timothy J. Miramontes, J.Luis Tau-functions and generalized integrable hierarchies |
| title | Tau-functions and generalized integrable hierarchies |
| title_full | Tau-functions and generalized integrable hierarchies |
| title_fullStr | Tau-functions and generalized integrable hierarchies |
| title_full_unstemmed | Tau-functions and generalized integrable hierarchies |
| title_short | Tau-functions and generalized integrable hierarchies |
| title_sort | tau-functions and generalized integrable hierarchies |
| topic | Mathematical Physics and Mathematics Particle Physics - Theory |
| url | https://dx.doi.org/10.1007/BF02098021 http://cds.cern.ch/record/240350 |
| work_keys_str_mv | AT hollowoodtimothyj taufunctionsandgeneralizedintegrablehierarchies AT miramontesjluis taufunctionsandgeneralizedintegrablehierarchies |