Details of Grant 

EPSRC Reference:	GR/M80697/01
Title:	RANDOM MATRICES, ORTHOGONAL POLYNOMIALS, INTEGRABLE NONLINEAR PDES AND RIEMAN-HILBERT PROBLEMS
Principal Investigator:	Fokas, Professor A
Other Investigators:	Elgin, Professor J
Researcher Co-Investigators:
Project Partners:
Department:	Mathematics
Organisation:	Imperial College London
Scheme:	Standard Research (Pre-FEC)
Starts:	01 November 1999	Ends:	31 October 2000	Value (£):	37,200
EPSRC Research Topic Classifications:	Algebra & Geometry Non-linear Systems Mathematics
EPSRC Industrial Sector Classifications:	No relevance to Underpinning Sectors
Related Grants:
Panel History:
Summary on Grant Application Form
The PI has recently introduced a new method for solving IBV problems for linear and for integrable non-linear PDEs. An important precursor of this method was a joint work of the PI with the VF. This method will be applied to the solution of the NLS and KdV equations on a finite domain. The relation of random matrices and orthogonal polynomials to integrability is one of the most important new developments of mathematical physics. The PI, the VF and Dr Chen have made contributions in this area and will collaborate on several related problems. The CoPI and the VF will solve the periodic problem for a matrix generalisation of the NLS equation. This system is important for the description of soliton propagation in optical fibres.
Key Findings
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
Potential use in non-academic contexts
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
Impacts
Description This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk Summary Date Materialised
Sectors submitted by the Researcher
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
Project URL:
Further Information:
Organisation Website:	http://www.imperial.ac.uk