Periodically generated propagating pulses

Details Periodically generated propagating pulses Periodically generated propagating pulses

2005-02-21

arxiv.org/abs/cond-mat/0502519v1

Siam J. Appl. Math. Vol. 65, No. 3, pp. 1053-1079 (2005)

Physics

Condensed Matter

Materials Science

27 pages, 11 figures, to appear in SIAM J. Appl. Math

Scientific paper

Certain equations with integral constraints have as solutions time-periodic pulses of a field-like unknown while a current-like unknown oscillates periodically with time. A general asymptotic theory of this phenomenon, the generalized Gunn effect, has been found recently. Here we extend this theory to the case of nonlinearities having only one stable zero, which is the case for the usual Gunn effect in n-GaAs. Our ideas are presented in the context of a simple scalar model where the waves can be constructed analytically and explicit expressions for asymptotic approximations can be found.

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