Two-component CH system: inverse scattering, peakons and geometry

Application of Inverse Scattering Method to Problems of Differential Geometry

This article presents, in a brief form, the recent results on application of the Inverse scattering method to some problems of Differential geometry. A connection between the theory of Integrable systems and Differential geometry is not a new concept. The Sine–Gordon equation was introduced in the theory of surfaces of constant negative curvature around 1860. Actually, it should be called the “...

Inverse Scattering

This paper investigates the ability to determine the boundary of an unknown object scattering waves using three different scenarios. In the first, we assume all far-field data is known from the scattering of a single incident wave. In the second, we assume that there are several nodes that emit waves and receive information back about the scattered wave. In the third, there is only one node whi...

Inverse Scattering and Imaging

Scattering, Inverse Scattering and Resonances in R

Scattering : Scattering and Inverse Scattering in Pure and Applied

This series of two volumes brings the concept of scattering in widely different fields – all the way from Nuclear Physics, Atmospheric Sciences to Chemical Physics – into a unified framework. Most of the topics were classified according to the physical scales of the scattering process. This two volume series easily qualifies as the encyclopedia of scattering. There are six parts in this two vol...