The solution of the initial-boundary-value problem of integrabale nonlinear evolution equations, with the spatial variable on a half-infinite line, can be reduced to the solution of a linear intregral equation. The asymptotic analysis of this equation for large t shows how the boundary conditions can generate solitons.

• Received 20 April 1992

DOI:https://doi.org/10.1103/PhysRevLett.68.3117