Inverse scattering for reflectionless Schr\'odinger operators with integrable potentials and generalized soliton solutions for the KdV equation

Autor:	Hryniv, Rostyslav, Melnyk, Bohdan, Mykytyuk, Yaroslav
Rok vydání:	2020
Předmět:	Mathematics - Spectral Theory Mathematical Physics 47A40 (Primary) 34L25 34L40 35C08 81U40 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We give a complete characterisation of the reflectionless Schr\"odinger operators on the line with integrable potentials, solve the inverse scattering problem of reconstructing such potentials from the eigenvalues and norming constants, and derive the corresponding generalized soliton solutions of the Korteweg--de Vries equation Comment: 35 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2006.12782 Zobrazit plný text záznamu View this record from Arxiv