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paper

Double humped states in the nonlinear Schroedinger equation with a random potential

arXiv:0908.3867 · doi:10.1103/PhysRevE.81.017201

Abstract

The role of double humped states in spreading of wave packets for the nonlinear Schroedinger equation (NLSE) with a random potential is explored and the spreading mechanism is unraveled. Comparison with an NLSE with a double-well potential is made. There are two independent affects of the nonlinearity on the double humped states for the NLSE: coupling to other states and destruction. The interplay between these effects is discussed.

10 pages, 3 figures