Research output: Contribution to journal › Article › peer-review
Direct scattering transform of large wave packets. / Mullyadzhanov, Rustam; Gelash, Andrey.
In: Optics Letters, Vol. 44, No. 21, 01.11.2019, p. 5298-5301.Research output: Contribution to journal › Article › peer-review
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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 -
ID: 22088105