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Details of Grant 

EPSRC Reference: GR/J71885/02
Title: INITIAL-BOUNDARY VALUE PROBLEMS AND OTHER ASPECTS OF INTEGRABLE EQUATIONS
Principal Investigator: Fokas, Professor A
Other Investigators:
Researcher Co-Investigators:
Project Partners:
Department: Dept of Mathematics
Organisation: Imperial College London
Scheme: Standard Research (Pre-FEC)
Starts: 01 April 1996 Ends: 30 September 1997 Value (£): 68,655
EPSRC Research Topic Classifications:
Mathematical Physics
EPSRC Industrial Sector Classifications:
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Summary on Grant Application Form
The question of extending the inverse scattering transform method for solving initial boundary value as opposed to traditional pure initial-value problems has been open for a long time (in spite of intense scrutiny by many prominent researchers). The principal investigator in collaboration with A. Its having recently solved this problem for the initial-boundary value problem of the non-linear Schrodinger (NLS) equation formulated on the half-infinite line. I propose to apply this newly developed method to the Korteweg-de Vries equation as well as to the Davey Stewartson equation which is a two dimensional generalisation of the NLS equation. In addition I propose to continue my investigations on other aspects of integrability. This includes algebraic aspects (with I M Gelfand) as well as the integration of functional equations (with B Dubrovin, I M Gelfand and P Santini.)
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Organisation Website: http://www.imperial.ac.uk