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

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...

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Bibliographic Details
Main Author: Jonathan Eckhardt
Format: Default Article
Published: 2024
Subjects:
Applied mathematics
Pure mathematics
Korteweg–de Vries equation
Long-time asymptotics
Generalized soliton solutions
Online Access:https://hdl.handle.net/2134/25122026.v1
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https://hdl.handle.net/2134/25122026.v1

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