Iteration of some discretizations of the nonlinear Schrödinger equation
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.
Year of publication: |
1986
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Authors: | Ross, K.A. ; Thompson, C.J. |
Published in: |
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 135.1986, 2, p. 551-558
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Publisher: |
Elsevier |
Saved in:
Online Resource
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