Stability of KdV solitons on the half-line
Stability of KdV solitons on the half-line
In this paper we study the stability problem for KdV solitons on the left and right half-lines. Unlike standard KdV, these are not exact solutions to the equations posed on the half-line, and, contrary to NLS, no exact soliton solution seems to exist. However, we are able to show that …