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Details of Grant 

EPSRC Reference: GR/L55254/01
Title: THE GEOMETRY OF DISPERSIVE AND DISPERSIONLESS INTEGRABLE SYSTEMS
Principal Investigator: Strachan, Professor I
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: Mathematics
Organisation: University of Hull
Scheme: Standard Research (Pre-FEC)
Starts: 01 October 1997 Ends: 31 March 1999 Value (£): 51,311
EPSRC Research Topic Classifications:
Mathematical Physics
EPSRC Industrial Sector Classifications:
No relevance to Underpinning Sectors
Related Grants:
Panel History:  
Summary on Grant Application Form
This project aims to connect, as well as make contributors in two areas of research which have developed over the last decade, namely:(a) The twistor approach to integrable systems, i.e. the relation between integrability and the Yang-Mills and Einstein self-duality equations,(b) The theory of dispersionless integrable systems (or Whitham averaged systems) and equations of hydrodynamic type.In particular the project aims to show how dispersionless integrable systems may be included in the programme (a) via the use of curved twistor spaces.In addition, the problems of how to incorporate certain multi-dimensional integrable systems (such as KP and Toda lattice hierarchies) into this framework and how to understand their dispersionless limits will also be studied.
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Organisation Website: http://www.hull.ac.uk