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Hard soliton excitation regime: Stability investigation

  • Nonlinear Physics
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Abstract

The problem of the stability of one-dimensional solitons in the hard regime of soliton excitation, where the matrix element of the four-wave interaction has an additional smallness, is studied. It is that shown for optical solitons striction can weaken the Kerr nonlinearity. It is shown that solitons with a finite amplitude discontinuity at the critical soliton velocity, equal to the minimum phase velocity of linear waves, are unstable while solitons with a soft transition remain stable with respect to one-dimensional perurbations. Two-and three-dimensional solitons near threshold are unstable with respect to modulation perturbations.

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Authors and Affiliations

  1. L. D. Landau Institute of Theoretical Physics, Russian Academy of Sciences, 117334, Moscow, Russia

    E. A. Kuznetsov

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  1. E. A. Kuznetsov
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Zh. Éksp. Teor. Fiz. 116, 299–317 (July 1999)

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Kuznetsov, E.A. Hard soliton excitation regime: Stability investigation. J. Exp. Theor. Phys. 89, 163–172 (1999). https://doi.org/10.1134/1.558965

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  • DOI: https://doi.org/10.1134/1.558965

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