Chaotic character of two-soliton collisions in the weakly perturbed nonlinear Schrödinger equation

Sergey V. Dmitriev, Denis A. Semagin*, Andrey A. Sukhorukov, Takeshi Shigenari

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    32 Citations (Scopus)

    Abstract

    We analyze the exact two-soliton solution to the unperturbed nonlinear Schrödinger equation and predict that in a weakly perturbed system (i) soliton collisions can be strongly inelastic, (ii) inelastic collisions are of almost nonradiating type, (iii) results of a collision are extremely sensitive to the relative phase of solitons, and (iv) the effect is independent on the particular type of perturbation. In the numerical study we consider two different types of perturbation and confirm the predictions. We also show that this effect is a reason for chaotic soliton scattering. For applications, where the inelasticity of collision, induced by a weak perturbation, is undesirable, we propose a method of compensating it by perturbation of another type.

    Original languageEnglish
    Pages (from-to)8
    Number of pages1
    JournalPhysical Review E
    Volume66
    Issue number4
    DOIs
    Publication statusPublished - 14 Oct 2002

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