## Heat operator with pure soliton potential: Properties of Jost and dual Jost solutions

M. Boiti, F. Pempinelli, A. K. Pogrebkov- Journal of Mathematical Physics, January 2011, American Institute of Physics
- DOI: 10.1063/1.3621715

# Jost solutions of the heat equation

### What is it about?

Before building the Inverse Scattering Thoery for the Kadomtsev-Petviashvili II (KPII) equation it is crucial to have a complete description of the properties of the Jost solutions related to the heat equation for soliton potentials.

### Why is it important?

Found unexpected properties of the Jost solutions explain why the problem of building a Scattering Theory for KPII was unsolved for many years.

The following have contributed to this page: Marco Boiti