The principal investigator will study isomonodromy deformation problems and their application to solve asymptotic connection formulae and to carry out a related study on the factorization problem associated with Gelfand-Dikii flows. These fundamental properties of integrable systems have been established for the 2 x 2 case, but have not been resolved for the general n x n case. A geometrical-analytical understanding is critical for further development. Integrable systems and inverse scattering problems play a fundamental role in establishing links between fundamental physics and the way in which mathematical models are used to describe it.

Agency
National Science Foundation (NSF)
Institute
Division of Mathematical Sciences (DMS)
Application #
9123844
Program Officer
Daljit S. Ahluwalia
Project Start
Project End
Budget Start
1992-07-01
Budget End
1995-12-31
Support Year
Fiscal Year
1991
Total Cost
$90,000
Indirect Cost
Name
University of Minnesota Twin Cities
Department
Type
DUNS #
City
Minneapolis
State
MN
Country
United States
Zip Code
55455