Long-time asymptotics for the Korteweg-de Vries equation with integrable reflectionless initial data
- Resource Type
- Working Paper
- Authors
- Eckhardt, Jonathan
- Source
- Subject
- Mathematics - Analysis of PDEs
Primary 37K40, 35Q53, Secondary 37K15, 34L25
- Language
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.
Comment: 11 pages