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Phys. Rev. E 59, 7250–7253 (1999)

Generation of soliton oscillations in nonlinear quadratic materials

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D. E. Pelinovsky1, J. E. Sipe2, and J. Yang3
1Department of Mathematics, University of Toronto, Toronto, Ontario, Canada M5S 3G3
2Department of Physics, University of Toronto, Toronto, Ontario, Canada M5S 1A7
3Department of Mathematics and Statistics, University of Vermont, Burlington, Vermont 05401

Received 13 January 1999; published in the issue dated June 1999

We show analytically and numerically that the generation of long-lasting soliton oscillations in resonant χ(2) optical materials possesses a threshold for the amplitude of a fundamental wave. The persistent oscillations of solitary waves reported by Etrich et al. [Phys. Rev. E 54, 4321 (1996)] are found to appear for finite values of the wave amplitude.

© 1999 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.59.7250
DOI:
10.1103/PhysRevE.59.7250
PACS:
42.65.Tg, 42.60.Rn, 42.65.Sf