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Soliton Theory and Hankel Operators (Q5256467)

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scientific article; zbMATH DE number 6446733

Language	Label	Description	Also known as
English	Soliton Theory and Hankel Operators	scientific article; zbMATH DE number 6446733

Statements

scholarly article

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Soliton Theory and Hankel Operators (English)

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Sergei M. Grudsky

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SIAM Journal on Mathematical Analysis

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publication date

17 June 2015

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full work available at URL

https://arxiv.org/abs/1310.3873

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zbMATH Keywords

KdV equation

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Hankel operators

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MaRDI profile type

MaRDI publication profile

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Rational and elliptic solutions of the korteweg-de vries equation and a related many-body problem

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On exponential representation of analytic functions in the upper half- plane with positive imaginary part

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On the location of the Weyl circles

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Inverse Schrödinger Cattering on the Line with Partial Knowledge of the Potential

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On the Riemann–Hilbert problem for the one-dimensional Schrödinger equation

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Pole dynamics of interacting solitons and blowup of complex-valued solutions of KdV

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On the numerical evaluation of Fredholm determinants

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Toeplitz operators with frequency modulated semi-almost periodic symbols

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Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. I: Schrödinger equations

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Fourier transform restriction phenomena for certain lattice subsets and applications to nonlinear evolution equations. II: The KdV-equation

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One-dimensional Marchenko inversion in the presence of bound states

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Solutions of the korteweg–devries equation with steplike initial profile

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Factorization of matrix functions and singular integral operators

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Pole dynamics for elliptic solutions of the Korteweg-de Vries equation

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Construction of reflectionless potentials with infinite discrete spectrum

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A steepest descent method for oscillatory Riemann-Hilbert problems. Asymptotics for the MKdV equation

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Inverse scattering on the line

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Introduction to the theory of Toeplitz operators with infinite index. Transl. from the Russian by Andrei Iacob

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Pseudoanalytic extension of smooth functions. The uniform scale

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Fredholm determinants and inverse scattering problems

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Long-time asymptotics for the Korteweg–de Vries equation with step-like initial data

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On the Cauchy problem for the Korteweg–de Vries equation with steplike finite-gap initial data: I. Schwartz-type perturbations

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On the Cauchy problem for the Korteweg-de Vries equation with steplike finite-gap initial data. II: Perturbations with finite moments

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Geometry of KdV. IV: Abel sums, Jacobi variety, and theta function in the scattering case

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The unified method: I. Nonlinearizable problems on the half-line

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Korteweg‐devries equation and generalizations. VI. methods for exact solution

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Invariant tori for the cubic Szegö equation

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The cubic Szegő equation

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Limits of soliton solutions

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One-dimensional scattering theory for quantum systems with nontrivial spatial asymptotics

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An explicit characterization of Calogero–Moser systems

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Riemann's boundary problem with infinite index. Introduction, appendix and editing by I. V. Ostrovskij. Transl. from the Russian by Yu. I. Lyubarskij

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Reconstruction of a Potential on the Line That is a Priori Known on the Half Line

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Applications of Blaschke Products to the Spectral Theory of Toeplitz Operators

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On positive type initial profiles for the KdV equation

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On Toeplitz and Hankel Operators with Oscillatory Symbols Containing Blaschke Products and Applications to the KdV Equation

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Long-time asymptotics for the Korteweg-de Vries equation via nonlinear steepest descent

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Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons

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Global wellposedness of KdV in \(H^{-1}(\mathbb T,\mathbb R)\)

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Reflectionless Transmission through Dielectrics and Scattering Potentials

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Asymptotic behavior of Jost functions near resonance points for Wigner–von Neumann type potentials

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Periodic and almost-periodic potentials in inverse problems

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One-dimensional Schrödinger operators with random decaying potentials

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The unified method: III. Nonlinearizable problems on the interval

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The unified method: II. NLS on the half-line with<i>t</i>-periodic boundary conditions

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Solving the Korteweg-de Vries equation by its bilinear form: Wronskian solutions

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Sturm-Liouville operators and applications. Transl. from the Russian by A. Iacob

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Positons: Slowly decreasing analogues of solitons

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The Connection between Partial Differential Equations Soluble by Inverse Scattering and Ordinary Differential Equations of Painlevé Type

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Solutions of the Korteweg-de Vries equation from irregular data

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The periodic problem for the Korteweg-de Vries equation

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Singular continuous measures in scattering theory

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The Fredholm determinant method for the KdV equations

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Spatial Analyticity of Solutions to Integrable Systems. I. The KdV Case

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The Hirota τ-function and well-posedness of the KdV equation with an arbitrary step-like initial profile decaying on the right half line

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Meromorphic solutions to the KdV equation with non-decaying initial data supported on a left half line

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On the determination of potentials without bound state data

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Meromorphic families of compact operators

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Analyticity of solutions of the Korteweg-de Vries equation

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The infinite period limit of the inverse formalism for periodic potentials

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Long Time Asymptotics of the Korteweg-de Vries Equation

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Unique Continuation for the Korteweg–de Vries Equation

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Periodic limit of inverse scattering

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Strong regularizing effect of integrable systems

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Identifiers

zbMATH Open document ID

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10.1137/151004926

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

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