标题： Korteweg-de Vries 方程与可积无反射初始数据的长时间渐进行为 显示英文标题

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

摘要： 我们证明了在足够长的时间后，具有无反射可积初始数据的Korteweg-de Vries方程的解会分解为孤子的（通常为无限的）线性叠加。 证明基于将无反射可积势用整函数对称耦合问题的解来表示。 显示英文摘要

摘要： 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.