Special Session 23: 

Integrating evolution equations using Fredholm determinants

Feride Tiglay
Ohio State University
USA
Co-Author(s):    
Abstract:
We outline the construction of special functions in terms of Fredholm determinants to solve boundary value problems of the string spectral problem. Our motivation is that the string spectral problem is related to the spectral equations in Lax pairs of at least three nonlinear evolution equations from mathematical physics.