Stability of the cauchy problem for the korteweg-devries equation: part 1

摘要

This paper, which is in two parts, examines the stability of the Cauchy problem for the Korteweg#x2014;deVries (KdV) equation. Let{vm(x)}withm = 1, 2, #x2026;be a sequence of functions with the limit function. Then this work considers under what conditions asm #x2192; #x221E;the solutionvm(x,t)of the KdV equation