Iteration of some discretizations of the nonlinear Schrödinger equation

K.A. Ross and C.J. Thompson

Physica A: Statistical Mechanics and its Applications, 1986, vol. 135, issue 2, 551-558

Abstract: We consider several discretizations of the nonlinear Schrödinger equation which lead naturally to the study of some symmetric difference equations of the form φn+1+φn-1 = f(φn). We find a variety of interesting and exotic behaviour from simple closed orbits to intricate patterns of orbits and loops in the (φn+1,φn) phase-plane. Some analytical results for a special case are also presented.

Date: 1986
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:135:y:1986:i:2:p:551-558

DOI: 10.1016/0378-4371(86)90159-7

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