Dbar‐approach to coupled nonlocal NLS equation and general nonlocal reduction (Q6063962)

scientific article; zbMATH DE number 7776409

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English	Dbar‐approach to coupled nonlocal NLS equation and general nonlocal reduction	scientific article; zbMATH DE number 7776409

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instance of

scholarly article

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title

Dbar‐approach to coupled nonlocal NLS equation and general nonlocal reduction (English)

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Studies in Applied Mathematics

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publication date

12 December 2023

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full work available at URL

https://arxiv.org/abs/2104.14814

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zbMATH Keywords

Dbar-problem

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dressing method

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general nonlocal reduction

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nonlocal NLS equation

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MaRDI profile type

MaRDI publication profile

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cites work

Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation

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

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

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Nonlocal general vector nonlinear Schrödinger equations: integrability, \(\mathcal{PT}\) symmetribility, and solutions

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Nonstandard bilinearization and interaction phenomenon for \textbf{PT}-symmetric coupled nonlocal nonlinear Schrödinger equations

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

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Long-time asymptotics for the integrable nonlocal nonlinear Schrödinger equation

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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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Periodic standing waves in the focusing nonlinear Schrödinger equation: rogue waves and modulation instability

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

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On general rogue waves in the parity-time-symmetric nonlinear Schrödinger equation

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Discrete nonlocal nonlinear Schrödinger systems: Integrability, inverse scattering and solitons

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Nonlocal nonlinear Schrödinger equation and its discrete version: Soliton solutions and gauge equivalence

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Integrable Nonlocal Nonlinear Equations

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General \(N\)-solitons and their dynamics in several nonlocal nonlinear Schrödinger equations

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Inverse scattering for nonlocal reverse-time nonlinear Schrödinger equations

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General soliton solutions to a reverse‐time nonlocal nonlinear Schrödinger equation

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Inverse scattering and soliton solutions of nonlocal reverse-spacetime nonlinear Schrödinger equations

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Inverse scattering transforms and soliton solutions of nonlocal reverse‐space nonlinear Schrödinger hierarchies

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

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Transformations between Nonlocal and Local Integrable Equations

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Nonlocal nonlinear Schrödinger equations and their soliton solutions

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Nonlocal modified KdV equations and their soliton solutions by Hirota method

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\((2+1)\)-dimensional local and nonlocal reductions of the negative AKNS system: soliton solutions

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Darboux transformation and analytic solutions of the discrete \(\mathcal{PT}\)-symmetric nonlocal nonlinear Schrödinger equation

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The D-bar approach to inverse scattering and nonlinear evolutions

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delta equations in the theory of integrable systems

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The non-local delta problem and (2+1)-dimensional soliton equations

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A hierarchy of coupled evolution equations with self-consistent sources and the dressing method

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The AB equations and the \(\bar\partial\)-dressing method in semi-characteristic coordinates

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The higher-order soliton solutions for the coupled Sasa-Satsuma system via the \(\overline{\partial}\)-dressing method

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Forced (2 + 1)-dimensional discrete three-wave equation

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Integrable space-time shifted nonlocal nonlinear equations

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Mathematics(1 entry)

mardi Publication:6063962