The Legacy of the IST

2002/06/26 by David J. Kaup, D. J. Kaup, Kaup, David J. · 2 citations
Mathematics · Physics and Astronomy · #01-02 #35-03 #35Q51 #35Q58 #Electromagnetic Scattering and Analysis #FOS: Mathematics #FOS: Physical sciences #History and Overview (math.HO) #Mathematical Analysis and Transform Methods #Mathematical Physics (math-ph) #Numerical methods in inverse problems #math-ph #math.HO #math.MP #msc:01-02 #msc:35-03 #msc:35Q51 #msc:35Q58

paper · pdf · doi:10.48550/arxiv.math/0206282

14 pages

arxiv created 2002/06/26 · openalex publication_date 2002/06/26 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We provide a brief review of some of the major research results arising from the method of the Inverse Scattering Transform.

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• Inverse scattering problem for the third-order equation on the line
• The Marchenko method for soliton solutions to the Sawada--Kotera equation

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