A NUMERICAL-METHOD FOR THE NONLINEAR OSCILLATOR PROBLEM

The treatment of a nonlinear Schrodinger equation with power law poten tial terms by means of hypervirial perturbation theory (HVPT) is consi dered. Previous workers have tried to handle the nonlinearity by const ructing an HVPT which also contains a nonlinear term. We show that hig her numerical accuracy can be obtained by reverting to the usual linea r HVPT in combination with a simple numerical procedure. The procedure also works with finite-difference shooting calculations, which would permit the calculations to be extended to handle more general potentia ls. (C) 1998 Published by Elsevier Science B.V.