Inverse scattering transform for the perturbed 1-soliton potential of the heat equation

/ Authors

M. Boiti, F. Pempinelli, A. Pogrebkov, B. Infn, Lecce, Italy., Steklov Mathematical Institute, Moscow, Russia.

/ Abstract

Abstract Inverse scattering theory of the heat equation with potential being a perturbation of the one-soliton potential by means of a decaying two-dimensional function is presented. Modification of the Jost solutions and scattering data are given.

Journal: Physics Letters A

DOI: 10.1016/S0375-9601(01)00366-8