The Hermite-Gaussian expansion for the soliton propagation in the regime of strong dispersion management

T.I. Lakoba; D.J. Kaup

doi:10.1364/NLGW.1998.NSNPS.P6

Nonlinear Guided Waves and Their Applications
Technical Digest Series (Optica Publishing Group, 1998),
paper NSNPS.P6
•https://doi.org/10.1364/NLGW.1998.NSNPS.P6

The Hermite-Gaussian expansion for the soliton propagation in the regime of strong dispersion management

T.I. Lakoba and D.J. Kaup

Nonlinear Guided Waves and Their Applications 1998

Victoria, British Columbia Canada
1–3 April 1998
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Poster Paper Abstracts (NSNPS)

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T. I. Lakoba and D. J. Kaup, "The Hermite-Gaussian expansion for the soliton propagation in the regime of strong dispersion management," in Nonlinear Guided Waves and Their Applications, Technical Digest Series (Optica Publishing Group, 1998), paper NSNPS.P6.

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Abstract

We develop a theory of soliton propagation in the regime of strong dispersion management, based on the expansion over the Hermite-Gaussian functions. We present, in explicit form, (i) the conditions for stationary propagation of the soliton, (ii) the soliton’s shape, and (iii) the perturbation theory for the DM soliton.

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