Heat operator with pure soliton potential: Properties of Jost and dual Jost solutionsM. 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.