Forces on solitons in finite, nonlinear, planar waveguides

Abstract

Abstract The forces acting on and the energies of solitons governed by the nonlinear Schrödinger equation in finite planar waveguides with periodic and with homogeneous Dirichlet, Neumann, and Robin boundary conditions are determined by means of a quantum analogy. It is shown that these densities have S‐shaped profiles and increase as the hardness of the boundary conditions increases. © 1994 John Wiley & Sons, Inc.