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Dynamical control of solitons in a parity-time-symmetric coupler by periodic management - MaRDI portal

Dynamical control of solitons in a parity-time-symmetric coupler by periodic management (Q2207082)

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Language	Label	Description	Also known as
English	Dynamical control of solitons in a parity-time-symmetric coupler by periodic management	scientific article

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scholarly article

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Dynamical control of solitons in a parity-time-symmetric coupler by periodic management (English)

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Boris A. Malomed

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Communications in Nonlinear Science and Numerical Simulation

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publication date

22 October 2020

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full work available at URL

https://arxiv.org/abs/1904.00434

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zbMATH Keywords

adiabatic approximation

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dual-core waveguides

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gain-loss balance

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cubic nonlinearity

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MaRDI profile type

MaRDI publication profile

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Model for Nuclear Reactions with Neutrons

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Quasi-Hermitian operators in quantum mechanics and the variational principle

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Spectral equivalences, Bethe ansatz equations, and reality properties in 𝒫𝒯-symmetric quantum mechanics

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Real Spectra in Non-Hermitian Hamiltonians Having<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="bold-script">P</mml:mi><mml:mi mathvariant="bold-script">T</mml:mi></mml:math>Symmetry

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Complex Extension of Quantum Mechanics

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Non-Hermitian Quantum Mechanics

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Metric operators for quasi-Hermitian Hamiltonians and symmetries of equivalent Hermitian Hamiltonians

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Physical realization of -symmetric potential scattering in a planar slab waveguide

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Optical lattices with PT symmetry are not transparent

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Visualization of Branch Points in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">P</mml:mi><mml:mi mathvariant="script">T</mml:mi></mml:math>-Symmetric Waveguides

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Exponentially Fragile<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">P</mml:mi><mml:mi mathvariant="script">T</mml:mi></mml:math>Symmetry in Lattices with Localized Eigenmodes

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\({\mathcal{PT}}\)-symmetric periodic optical potentials

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Necessity of \(\mathcal{PT}\) symmetry for soliton families in one-dimensional complex potentials

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Soliton Management in Periodic Systems

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The nonlinear Schrödinger equation. Singular solutions and optical collapse

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Solitons in ${\mathscr{P}}{\mathscr{T}}$-symmetric ladders of optical waveguides

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Identifiers

10.1016/j.cnsns.2019.104906

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:2207082

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