A numerical calculation validates the correspondence between the soliton nonlinear asymptotic solutions of the time-dependent Korteweg-deVries equation and the bound states of the one-dimensional time-independent Schrödinger equation. Here the attractive potential of the Schrödinger equation is equal to the initial condition of the Korteweg-deVries equation. A situation is examined where an oscillatory state remains after solitons have emerged.

• Received 15 September 1967

DOI:https://doi.org/10.1103/PhysRev.168.124