ABSTRACT
This report is concerned with the initial value problem for the Korteweg-deVries equation (KdV). () u t − 6 uu x + u xxx = 0 t > 0 x ∈ ℝ u ( x,0 ) = U ( x ) x ∈ ℝ https://s3-euw1-ap-pe-df-pch-content-public-u.s3.eu-west-1.amazonaws.com/9780203745465/59a6af57-aaec-4c6e-b5c4-3edadfc8e8fa/content/eq589.tif"/>