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Applying canonical transformations to the nonlinear Schrödinger equation for modeling fiber optic communications. / Дремов, Сергей Вячеславович; Качулин, Дмитрий Игоревич; Чеховской, Игорь Сергеевич et al.

In: Physica D: Nonlinear Phenomena, Vol. 486, 135049, 02.2026.

Research output: Contribution to journal › Article › peer-review

Harvard

Дремов, СВ, Качулин, ДИ, Чеховской, ИС, Сидельников, ОС, Редюк, АА & Дьяченко, АИ 2026, 'Applying canonical transformations to the nonlinear Schrödinger equation for modeling fiber optic communications', Physica D: Nonlinear Phenomena, vol. 486, 135049. https://doi.org/10.1016/j.physd.2025.135049

APA

Дремов, С. В., Качулин, Д. И., Чеховской, И. С., Сидельников, О. С., Редюк, А. А., & Дьяченко, А. И. (2026). Applying canonical transformations to the nonlinear Schrödinger equation for modeling fiber optic communications. Physica D: Nonlinear Phenomena, 486, [135049]. https://doi.org/10.1016/j.physd.2025.135049

Vancouver

Дремов СВ, Качулин ДИ, Чеховской ИС, Сидельников ОС, Редюк АА, Дьяченко АИ. Applying canonical transformations to the nonlinear Schrödinger equation for modeling fiber optic communications. Physica D: Nonlinear Phenomena. 2026 Feb;486:135049. doi: 10.1016/j.physd.2025.135049

Author

Дремов, Сергей Вячеславович ; Качулин, Дмитрий Игоревич ; Чеховской, Игорь Сергеевич et al. / Applying canonical transformations to the nonlinear Schrödinger equation for modeling fiber optic communications. In: Physica D: Nonlinear Phenomena. 2026 ; Vol. 486.

BibTeX

@article{f2bb8acf02e04e388759365738bf1f9c,
title = "Applying canonical transformations to the nonlinear Schr{\"o}dinger equation for modeling fiber optic communications",
abstract = "This paper presents a numerical implementation of a novel algorithm for modeling optical signal propagation under the nonlinear Schr{\"o}dinger equation. Rooted in the Hamiltonian formalism and canonical transformations, the method is mathematically rigorous and devoid of empirical techniques. We investigate the algorithm{\textquoteright}s properties and range of applicability both analytically and numerically, highlighting its advantages over existing methods. An extension is also developed to include dissipative effects. The proposed approach is applied to various wave fields, and its performance is compared with standard dispersion and nonlinear phase compensation techniques. These initial results demonstrate the potential of the algorithm for fiber-optic communication applications.",
keywords = "The nonlinear schr{\"o}dinger equation, Hamiltonian systems, Canonical transformations, Fiber optics communications",
author = "Дремов, {Сергей Вячеславович} and Качулин, {Дмитрий Игоревич} and Чеховской, {Игорь Сергеевич} and Сидельников, {Олег Сергеевич} and Редюк, {Алексей Александрович} and Дьяченко, {Александр Иванович}",
note = "The work of SD, DK was supported by RSF Grant No. 19-72-30028, https://rscf.ru/project/19-72-30028/. The work of ICh and OS was carried out within the framework of state assignment FSUS-2025-0010.",
year = "2026",
month = feb,
doi = "10.1016/j.physd.2025.135049",
language = "English",
volume = "486",
journal = "Physica D: Nonlinear Phenomena",
issn = "0167-2789",
publisher = "Elsevier Science Publishing Company, Inc.",

}

RIS

TY - JOUR

T1 - Applying canonical transformations to the nonlinear Schrödinger equation for modeling fiber optic communications

AU - Дремов, Сергей Вячеславович

AU - Качулин, Дмитрий Игоревич

AU - Чеховской, Игорь Сергеевич

AU - Сидельников, Олег Сергеевич

AU - Редюк, Алексей Александрович

AU - Дьяченко, Александр Иванович

N1 - The work of SD, DK was supported by RSF Grant No. 19-72-30028, https://rscf.ru/project/19-72-30028/. The work of ICh and OS was carried out within the framework of state assignment FSUS-2025-0010.

PY - 2026/2

Y1 - 2026/2

N2 - This paper presents a numerical implementation of a novel algorithm for modeling optical signal propagation under the nonlinear Schrödinger equation. Rooted in the Hamiltonian formalism and canonical transformations, the method is mathematically rigorous and devoid of empirical techniques. We investigate the algorithm’s properties and range of applicability both analytically and numerically, highlighting its advantages over existing methods. An extension is also developed to include dissipative effects. The proposed approach is applied to various wave fields, and its performance is compared with standard dispersion and nonlinear phase compensation techniques. These initial results demonstrate the potential of the algorithm for fiber-optic communication applications.

AB - This paper presents a numerical implementation of a novel algorithm for modeling optical signal propagation under the nonlinear Schrödinger equation. Rooted in the Hamiltonian formalism and canonical transformations, the method is mathematically rigorous and devoid of empirical techniques. We investigate the algorithm’s properties and range of applicability both analytically and numerically, highlighting its advantages over existing methods. An extension is also developed to include dissipative effects. The proposed approach is applied to various wave fields, and its performance is compared with standard dispersion and nonlinear phase compensation techniques. These initial results demonstrate the potential of the algorithm for fiber-optic communication applications.

KW - The nonlinear schrödinger equation

KW - Hamiltonian systems

KW - Canonical transformations

KW - Fiber optics communications

U2 - 10.1016/j.physd.2025.135049

DO - 10.1016/j.physd.2025.135049

M3 - Article

VL - 486

JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

SN - 0167-2789

M1 - 135049

ER -

ID: 72446258