Modulational instability of solitary waves in nondegenerate three-wave mixing : the role of phase symmetries

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Skryabin, Dmitry V. and Firth, William J. (1998) Modulational instability of solitary waves in nondegenerate three-wave mixing : the role of phase symmetries. Physical Review Letters, 81 (16). pp. 3379-3382. ISSN 1079-7114 (https://doi.org/10.1103/PhysRevLett.81.3379)

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Abstract

We show how the analytical approach of Zakharov and Rubenchik [Sov. Phys. JETP 38, 494 (1974)] to modulational instability (MI) of solitary waves in the nonlinear Schrödinger equation can be generalized for models with two phase symmetries. MI of three-wave parametric spatial solitons due to group velocity dispersion (GVD) is investigated as a typical example of such models. We reveal a new branch of neck instability, which dominates the usual snake type MI found for normal GVD. The resultant nonlinear evolution is thereby qualitatively different from cases with only a single phase symmetry.

  • Item type:Article
    ID code:6465
    Dates:
    Date
    Event
    19 October 1998
    Published
    Subjects:Science > Physics > Optics. Light
    Department:Faculty of Science > Physics
    Depositing user: Miss Darcy Spiller
    Date deposited:07 Jul 2008
    Last modified:24 Nov 2024 01:02
    URI:https://strathprints.strath.ac.uk/id/eprint/6465
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