2 papers
math.SP1993
Trace formulae and inverse spectral theory for Schrödinger operators
Fritz Gesztesy, Helge Holden, Barry Simon +1
We extend the well-known trace formula for Hill's equation to general one-dimensional Schrödinger operators. The new function , which we introduce, is used to study absolutely c…
math.AP1992
New types of soliton solutions
Fritz Gesztesy, Witold Karwowski, Zhong Xin Zhao
We announce a detailed investigation of limits of N-soliton solutions of the Korteweg-deVries (KdV) equation as tends to infinity. Our main results provide new classes of KdV-s…