2 papers
solv-int1997
A new explicit expression for the Korteweg-De Vries hierarchy
Ivan G. Avramidi, Rainer Schimming
We derive an improved fully explicit expression for the right-hand sides of the matrix KdV hierarchy using the relation to the heat kernel of the one-dimensional Schrödinger operat…
hep-th1995
Algorithms for the calculation of the heat kernel coefficients
Ivan G. Avramidi, Rainer Schimming
We present a brief overview of several approaches for calculating the local asymptotic expansion of the heat kernel for Laplace-type operators. The different methods developed in t…