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Sine-Gordon theory in a semi-strip (Q651164)

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English	Sine-Gordon theory in a semi-strip	scientific article

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scholarly article

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Sine-Gordon theory in a semi-strip (English)

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Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods

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publication date

8 December 2011

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full work available at URL

https://arxiv.org/abs/1001.4142

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zbMATH Keywords

sine-Gordon equation

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complex sine-Gordon equation

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initial-boundary value problem

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skew-self-adjoint Dirac system

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Weyl function

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inverse spectral transform

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Alexander L. Sakhnovich

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MaRDI profile type

MaRDI publication profile

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The inverse scattering transform: Semi-infinite interval

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CONSERVATION LAWS AND GEOMETRY OF PERTURBED COSET MODELS

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Integrable Hamiltonian systems and interactions through quadratic constraints

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Unified approach to strings and vortices with soliton solutions

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Quantum complex sine-Gordon model on a half line

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Quantum scattering of charged solitons in the complex sine-Gordon model

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Initial-boundary-value problems for linear and integrable nonlinear dispersive partial differential equations

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Integrable nonlinear evolution equations on the half-line

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Existence of multiple solutions of critical quasilinear elliptic Neumann problems

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Boundary smoothing properties of the Korteweg-de Vries equation in a quarter plane and applications

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The Korteweg–de Vries Equation, Posed in a Quarter-Plane

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Solution of the forced nonlinear schrödinger (nls) equation using pde techniques

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Well-posedness, blow-up phenomena, and global solutions for the b-equation

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The Initial-Boundary Value Problem for the Korteweg–de Vries Equation

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Initial boundary-value problems for the Korteweg-de Vries equation

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Eigenvalue criteria for existence of multiple positive solutions of nonlinear boundary value problems of local and nonlocal type

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Inverse problem of the spectral analysis and non-Abelian chains of nonlinear equations

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A complete solution of the periodic Toda problem

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Nonlinear Schrödinger equation on a semi-axis and an inverse problem associated with it

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The Goursat problem for the sine-Gordon equation and the inverse spectral problem

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Second harmonic generation: Goursat problem on the semi-strip, Weyl functions and explicit solutions

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Weyl functions, the inverse problem and special solutions for the system auxiliary to the nonlinear optics equation

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Evolution of spectral data and nonlinear equations

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Spectral theory of a class of canonical differential systems

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The Goursat and Cauchy Problems for the Sine-Gordon Equation

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Theory of group representations and integration of nonlinear systems \(x_{a, z\overline{z}}=\exp(kx)_{a}\)

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Scattering and inverse scattering for first order systems

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KdV Equation in the Quarter–Plane: Evolution of the Weyl Functions and Unbounded Solutions

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The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems

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The spectral theory of a functional-difference operator in conformal field theory

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The periodic problem for the Korteweg-de Vries equation

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Integrals of nonlinear equations of evolution and solitary waves

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Krein systems and canonical systems on a finite interval: Accelerants with a jump discontinuity at the origin and continuous potentials

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Spectral deformations of one-dimensional Schrödinger operators

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Discrete skew self-adjoint canonical system and the isotropic Heisenberg magnet model

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Direct and inverse spectral problem for a system of differential equations depending rationally on the spectral parameter

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Dynamical and spectral Dirac systems: response function and inverse problems

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Skew-self-adjoint discrete and continuous Dirac-type systems: inverse problems and Borg–Marchenko theorems

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Weyl--Titchmarsh theory for CMV operators associated with orthogonal polynomials on the unit circle

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The Dirichlet initial-boundary-value problems for sine and sinh-Gordon equations on a half-line

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The Zakharov-Shabat spectral problem on the semi-line: Hilbert formulation and applications

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Integrability and self-similarity in transient stimulated Raman scattering

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Identifiers

zbMATH Open document ID

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10.1016/j.na.2011.09.030

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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:651164

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