EPSRC Reference: 
EP/F034911/1 
Title: 
Aspects of nonlinear evolution PDEs 
Principal Investigator: 
Fokas, Professor A 
Other Investigators: 

Researcher CoInvestigators: 

Project Partners: 

Department: 
Applied Maths and Theoretical Physics 
Organisation: 
University of Cambridge 
Scheme: 
Standard Research 
Starts: 
12 March 2008 
Ends: 
11 June 2008 
Value (£): 
16,407

EPSRC Research Topic Classifications: 
Mathematical Analysis 
Nonlinear Systems Mathematics 

EPSRC Industrial Sector Classifications: 
No relevance to Underpinning Sectors 


Related Grants: 

Panel History: 

Summary on Grant Application Form 
During the threemonth research visit of Professor Himonas to Cambridge we will investigate two problems:(a) The Cauchy problem for a certain integrable generalisation of the nonlinear Schroedinger (NLS)equation. This equation is actually related with the NLS in the same way that the CamassaHolmequation is related to the Kortewegde Vries equation. We will use both the inverse scattering transform method and PDE techniques for the analysis of the Cauchy problem. (b) Initialboundary value problems on the halfline for a large class of nonlinear evolution PDEs whose linear part is dispersive. We will consider the nonlinearity as forcing and we will use a general formula obtained recently for the solution of linear dispersive equations at the halfline to formulate an integral equation. This latter equation will be analysed using PDE techniques.

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Organisation Website: 
http://www.cam.ac.uk 