General stationary solutions of the nonlocal nonlinear Schrödinger equation and their relevance to the PT-symmetric system (Q5213537)

scientific article; zbMATH DE number 7162193

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English	General stationary solutions of the nonlocal nonlinear Schrödinger equation and their relevance to the PT-symmetric system	scientific article; zbMATH DE number 7162193

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instance of

scholarly article

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title

General stationary solutions of the nonlocal nonlinear Schrödinger equation and their relevance to the PT-symmetric system (English)

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published in

Chaos: An Interdisciplinary Journal of Nonlinear Science

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publication date

3 February 2020

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full work available at URL

https://arxiv.org/abs/1906.11169

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MaRDI profile type

MaRDI publication profile

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cites work

The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

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An exact solution for a derivative nonlinear Schrödinger equation

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New Integrable Nonlinear Evolution Equations

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Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation

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Integrable Nonlocal Nonlinear Equations

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Reverse Space‐Time Nonlocal Sine‐Gordon/Sinh‐Gordon Equations with Nonzero Boundary Conditions

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Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation

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Integrable nonlocal vector nonlinear Schrödinger equation with self-induced parity-time-symmetric potential

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Darboux transformations and global solutions for a nonlocal derivative nonlinear Schrödinger equation

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On a nonlocal modified Korteweg-de Vries equation: integrability, Darboux transformation and soliton solutions

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The $N$-wave equations with $\mathcal{PT}$ symmetry

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Alice-Bob systems, P^-T^-Ĉ symmetry invariant and symmetry breaking soliton solutions

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Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions

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Complete integrability of nonlocal nonlinear Schrödinger equation

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Long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation

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Transformations between Nonlocal and Local Integrable Equations

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Novel higher-order rational solitons and dynamics of the defocusing integrable nonlocal nonlinear Schrödinger equation via the determinants

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Nonlocal nonlinear Schrödinger equations and their soliton solutions

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Periodic and hyperbolic soliton solutions of a number of nonlocal nonlinear equations

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Rogue waves in the nonlocal $\mathcal{PT}$-symmetric nonlinear Schrödinger equation

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Dynamics of high-order solitons in the nonlocal nonlinear Schrödinger equations

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GBDT and algebro-geometric approaches to explicit solutions and wave functions for nonlocal NLS

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General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions

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Mixed soliton solutions of the defocusing nonlocal nonlinear Schrödinger equation

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Integrable nonlocal asymptotic reductions of physically significant nonlinear equations

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Envelope solitons in a nonlinear string with mirror nonlocality

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Solitons and their stability in the nonlocal nonlinear Schrödinger equation with PT-symmetric potentials

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A systematic construction of parity-time ($\mathcal{PT}$ )-symmetric and non-$\mathcal{PT}$ -symmetric complex potentials from the solutions of various real nonlinear evolution equations

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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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Real and complex discrete eigenvalues in an exactly solvable one-dimensional complex PT-invariant potential

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Nonlinear Waves in Integrable and Nonintegrable Systems

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Darboux transformation and soliton solutions of the semi-discrete massive Thirring model

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Instability of an integrable nonlocal NLS

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Identifiers

zbMATH Open document ID

1429.35182

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DOI

10.1063/1.5121776

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5213537