| EPSRC Reference: |
GR/J71885/01 |
| Title: |
INITIAL-BOUNDARY VALUE PROBLEMS AND OTHER ASPECTS OF INTEGRABLE EQUATIONS |
| Principal Investigator: |
Fokas, Professor A |
| Other Investigators: |
|
| Researcher Co-Investigators: |
|
| Project Partners: |
|
| Department: |
Unknown (Data Transfer) |
| Organisation: |
Loughborough University |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 October 1994 |
Ends: |
31 March 1996 |
Value (£): |
46,525
|
| EPSRC Research Topic Classifications: |
|
| EPSRC Industrial Sector Classifications: |
|
| Related Grants: |
|
| Panel History: |
|
|
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.)
|
|
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.lboro.ac.uk |