Finite-gap solutions of nonlocal equations in Ablowitz-Kaup-Newell-Segur hierarchy (Q5155558)

scientific article; zbMATH DE number 7407670

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English	Finite-gap solutions of nonlocal equations in Ablowitz-Kaup-Newell-Segur hierarchy	scientific article; zbMATH DE number 7407670

Statements

instance of

scholarly article

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title

Finite-gap solutions of nonlocal equations in Ablowitz-Kaup-Newell-Segur hierarchy (English)

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published in

Ufimskii Matematicheskii Zhurnal

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publication date

7 October 2021

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full work available at URL

http://mathnet.ru/eng/ufa566

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zbMATH Keywords

nonlinear Schrödinger equation

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Ablowitz-Kaup-Newell-Segur hierarchy

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nonlocal equation

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PT-symmetry

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finite-gap solution

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spectral curve

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theta function

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author

Aleksandr Olegovich Smirnov

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Vladimir B. Matveev

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

0 references

Rational solutions for the nonlocal sixth-order nonlinear Schrödinger equation

0 references

Rational soliton solutions in the parity-time-symmetric nonlocal coupled nonlinear Schrödinger equations

0 references

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

0 references

Two \((2+1)\)-dimensional integrable nonlocal nonlinear Schrödinger equations: breather, rational and semi-rational solutions

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Reductions of Darboux transformations for the \(\mathcal{PT}\)-symmetric nonlocal Davey-Stewartson equations

0 references

Variable sinh-Gaussian solitons in nonlocal nonlinear Schrödinger equation

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Deformation of dark solitons in a PT-invariant variable coefficients nonlocal nonlinear Schrödinger equation

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Rogue waves of the nonlocal Davey–Stewartson I equation

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Nonlinear waves of a nonlocal modified KdV equation in the atmospheric and oceanic dynamical system

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Solutions of Nonlocal Equations Reduced from the AKNS Hierarchy

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General soliton solutions to a \((2+1)\)-dimensional nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions

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New classes of solutions in the coupled \(\mathcal{PT}\) symmetric nonlocal nonlinear Schrödinger equations with four wave mixing

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Semi-rational solutions for the \((2 + 1)\)-dimensional nonlocal Fokas system

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Rational and semi-rational solutions of the \(y\)-nonlocal Davey-Stewartson I equation

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Nonlocal modified KdV equations and their soliton solutions by Hirota method

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Exact solutions of nonlocal Fokas-Lenells equation

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

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

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

0 references

Darboux transformations and exact solutions for the integrable nonlocal Lakshmanan-Porsezian-Daniel equation

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Multiphase solutions of nonlocal symmetric reductions of equations of the AKNS hierarchy: general analysis and simplest examples

0 references

AKNS and NLS hierarchies, MRW solutions, <i>P</i> <i>n</i> breathers, and beyond

0 references

Two-phase periodic solutions to the AKNS hierarchy equations

0 references

Q4108698

0 references

Matrix Riemann-Hilbert Problems and Maxwell-Bloch Equations without Spectral Broadening

0 references

Q4303160

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The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

0 references

On the integrability aspects of the one-dimensional classical continuum isotropic biquadratic Heisenberg spin chain

0 references

Solution of a nonlinear Schrödinger equation in the form of two-phase freak waves

0 references

Periodic two-phase ``rogue waves''

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Three-phase freak waves

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Theta functions and non-linear equations

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Theta functions on Riemann surfaces

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Tata lectures on theta. I: Introduction and motivation: Theta functions in one variable. Basic results on theta functions in several variables. With the assistance of C. Musili, M. Nori, E. Previato, and M. Stillman

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Tata lectures on theta. II: Jacobian theta functions and differential equations. With the collaboration of C. Musili, M. Nori, E. Previato, M. Stillman, and H. Umemura

0 references

A MATRIX ANALOGUE OF APPELL'S THEOREM AND REDUCTIONS OF MULTIDIMENSIONAL RIEMANN THETA-FUNCTIONS

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Identifiers

zbMATH Open document ID

1488.37055

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DOI

10.13108/2021-13-2-81

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Mathematics Subject Classification ID

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Sitelinks

Mathematics(1 entry)

mardi Publication:5155558