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Long-time asymptotics for the Korteweg-de Vries equation with integrable reflectionless initial data

journal contribution
posted on 2024-02-01, 16:28 authored by Jonathan EckhardtJonathan Eckhardt

We show that solutions of the Korteweg–de Vries equation with reflectionless integrable initial data decompose into a (in general infinite) linear superposition of solitons after long enough time. The proof is based on a representation of reflectionless integrable potentials in terms of solutions to symmetric coupling problems for entire functions.

History

School

  • Science

Department

  • Mathematical Sciences

Published in

Pure and Applied Functional Analysis

Publisher

Yokohama Publishers

Version

  • AM (Accepted Manuscript)

Rights holder

© Yokohama Publishers

Acceptance date

2024-01-31

ISSN

2189-3756

eISSN

2189-3764

Language

  • en

Depositor

Dr Jonathan Eckhardt. Deposit date: 31 January 2024

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