Maxwell's equations and the vector nonlinear Schrödinger equation

Yijiang Chen, Javid Atai

    Research output: Contribution to journalArticleAcademicpeer-review

    7 Citations (Scopus)
    298 Downloads (Pure)

    Abstract

    We examine similarities and fundamental differences between Maxwell's equations and the vector nonlinear Schrödinger equation (which is an approximation of the former) in describing a light evolution in a uniform nonlinear anisotropic medium. It is shown that in some cases, the solitary wave solutions to the nonlinear Schrödinger equation cannot be recovered from Maxwell"s equations while in others the solitary wave solutions to Maxwell's equations are lost from the nonlinear Schrödinger equation through approximation (even in the limit under which the approximation is derived or valid), although there are cases where the solutions to the two sets of equations demonstrate only quantitative differences. The existence of novel classes of the hybrid vector solitary waves composed of three field components is also demonstrated and the bifurcation characteristics of the solitary wave states are analyzed.
    Original languageEnglish
    Pages (from-to)3652-3657
    Number of pages6
    JournalPhysical review E: Statistical physics, plasmas, fluids, and related interdisciplinary topics
    Volume55
    Issue number3
    DOIs
    Publication statusPublished - 1997

    Keywords

    • METIS-111527

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