Journal article 661 views
Tau-functions and generalized intergrable hierarchies
J.Luis Miramontes,
Timothy Hollowood 
Communications in Mathematical Physics, Volume: "157", Issue: 1, Pages: 99 - 118
Swansea University Author:
Timothy Hollowood
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DOI (Published version): 10.1007/BF02098021
Abstract
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-...
| Published in: | Communications in Mathematical Physics |
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| ISSN: | 0010-3616 1432-0916 |
| Published: |
1992
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa28591 |
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| Abstract: |
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 |
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| College: |
Faculty of Science and Engineering |
| Issue: |
1 |
| Start Page: |
99 |
| End Page: |
118 |