In this dissertation, we study the initial-boundary-value problem of modified Korteweg-de Vries equation and use the tool of harmonic analysis to study the Cauchy problem of Davey-Stewarson equation.

• 本文研究了modified Korteweg-de Vries方程初边值问题并用调和分析作为工具研究了Davey-Stewartson方程柯西问题。