TY - JOUR

T1 - Direct scattering transform of large wave packets

AU - Mullyadzhanov, Rustam

AU - Gelash, Andrey

N1 - Publisher Copyright: © 2019 Optical Society of America.

PY - 2019/11/1

Y1 - 2019/11/1

N2 - 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.

AB - 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.

KW - NONLINEAR FOURIER-TRANSFORM

KW - COMPUTATION

KW - MODULATION

KW - ALGORITHMS

KW - TURBULENCE

KW - SPECTRUM

UR - http://www.scopus.com/inward/record.url?scp=85074345136&partnerID=8YFLogxK

U2 - 10.1364/OL.44.005298

DO - 10.1364/OL.44.005298

M3 - Article

C2 - 31674992

AN - SCOPUS:85074345136

VL - 44

SP - 5298

EP - 5301

JO - Optics Letters

JF - Optics Letters

SN - 0146-9592

IS - 21

ER -