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.
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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.
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This page is a summary of: Heat operator with pure soliton potential: Properties of Jost and dual Jost solutions, Journal of Mathematical Physics, August 2011, American Institute of Physics,
DOI: 10.1063/1.3621715.
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