Superposition of Solitons with Arbitrary Parameters for Higher-order Equations

A. Ankiewicz*, A. Chowdury

*Corresponding author for this work

    Research output: Contribution to journalArticlepeer-review

    4 Citations (Scopus)

    Abstract

    The way in which solitons propagate and collide is an important theme in various areas of physics. We present a systematic study of the superposition of solitons in systems governed by higher-order equations related to the nonlinear Schrödinger family. We allow for arbitrary amplitudes and relative velocities and include an infinite number of equations in our analysis of collisions and superposed solitons. The formulae we obtain can be useful in determining the influence of subtle effects like higher-order dispersion in optical fibres and small delays in the material responses to imposed impulses.

    Original languageEnglish
    Pages (from-to)647-656
    Number of pages10
    JournalZeitschrift fur Naturforschung - Section A Journal of Physical Sciences
    Volume71
    Issue number7
    DOIs
    Publication statusPublished - 1 Jul 2016

    Fingerprint

    Dive into the research topics of 'Superposition of Solitons with Arbitrary Parameters for Higher-order Equations'. Together they form a unique fingerprint.

    Cite this