| EPSRC Reference: |
GR/A00072/01 |
| Title: |
AF: INTEGRABLE SYSTEMS, SPECIAL FUNCTIONS AND THE METH OD OF SEPARATION OF VARIABLES |
| Principal Investigator: |
Kuznetsov, Dr V |
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| Department: |
Applied Mathematics |
| Organisation: |
University of Leeds |
| Scheme: |
Advanced Fellowship (Pre-FEC) |
| Starts: |
01 April 2000 |
Ends: |
31 January 2004 |
Value (£): |
140,105
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| No relevance to Underpinning Sectors |
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Summary on Grant Application Form |
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It is proposed to study the problem of time-discretisations of the completely integrable systems. The research aims towards deeper understanding of how to solve such systems through linearisation and it is based on, already becoming classical, theories of finite-gapintegration and separation of variables. The general problem of separation of variables for an integrable system will be reduced to taking a composition of special canonical Backlund transformations. The corresponding quantum counterparts of the BT and SoV will lead to new integral formulas for the related special functions. For the functions of complexity beyond the hypergeometric class those integral formulas might be the only possible explicit analytical expressions, but they have many applications in physical and engineering problems.
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Key Findings |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Potential use in non-academic contexts |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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Impacts |
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| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
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Sectors submitted by the Researcher |
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This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
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| Project URL: |
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| Further Information: |
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| Organisation Website: |
http://www.leeds.ac.uk |