Direct scattering transform of large wave packets

Rustam Mullyadzhanov, Andrey Gelash

    Research output: Contribution to journalArticlepeer-review

    16 Citations (Scopus)


    We apply the Magnus expansion to the Zakharov–Shabat system, providing a basis for a systematic construction of high-order numerical schemes to solve the direct scattering problem of the integrable one-dimensional nonlinear Schrödinger equation. The presented numerical simulations of previously unreachable wave fields with up to 128 solitons employing second-, fourth-, and sixth-order schemes stresses the need for delicate numerics to identify the eigenvalues and especially phase coefficients. This approach lays the foundation for the study of large optical wave packets, providing fundamental information about their scattering data content and origin of various nonlinear effects.

    Original languageEnglish
    Pages (from-to)5298-5301
    Number of pages4
    JournalOptics Letters
    Issue number21
    Publication statusPublished - 1 Nov 2019


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