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A mysterious threshold for transverse instability of deep-water solitons

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  • Pelinovsky, Dmitry E.

Abstract

Properties of the linear eigenvalue problem associated to a hyperbolic non-linear Schrödinger equation are reviewed. The instability band of a deep-water soliton is shown to merge to the continuous spectrum of a linear Schrödinger operator. A new analytical approximation of the instability growth near a threshold is derived by means of a bifurcation theory of weakly localized wave functions.

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  • Pelinovsky, Dmitry E., 2001. "A mysterious threshold for transverse instability of deep-water solitons," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 55(4), pages 585-594.
    • Handle: RePEc:eee:matcom:v:55:y:2001:i:4:p:585-594
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    Cited by:

    1. Kirane, M. & Stalin, S., 2024. "Scalar and vector electromagnetic solitary waves in nonlinear hyperbolic media," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).

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