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Nonlinear dynamics of the Frenkel–Kontorova model
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title
Nonlinear dynamics of the Frenkel–Kontorova model
(English)
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author
Yuri Kivshar
series ordinal
2
object named as
Yuri S. Kivshar
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Oleh Braun
series ordinal
1
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author name string
Oleg M. Braun
series ordinal
1
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publication date
December 1998
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published in
Physics Reports
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volume
306
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issue
1-2
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page(s)
1-108
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cites work
Method for Solving the Sine-Gordon Equation
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Fractal structure in the scalar lambda ( phi2-1)2 theory
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Solitons and their interactions in classical field theory
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The disintegration of wave trains on deep water Part 1. Theory
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Intrinsic localized modes in a monatomic lattice with weakly anharmonic nearest-neighbor force constants
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Numerical measurements of the shape and dispersion relation for moving one-dimensional anharmonic localized modes
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Dynamics of sine-Gordon solitons under random perturbations: Multiplicative large-scale white noise
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Evolution and stability of self-localized modes in a nonlinear inhomogeneous crystal lattice
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Exact determination of the Peierls-Nabarro frequency
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Discreteness effects on a sine-Gordon breather
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Hamiltonian equations for multiple-collective-variable theories of nonlinear Klein-Gordon equations: A projection-operator approach.
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Spontaneous emission of radiation from a discrete sine-Gordon kink
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Energy transport in one- and two-dimensional anharmonic lattices with isotopic disorder
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Kinks in the Frenkel-Kontorova model with long-range interparticle interactions
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Nonlinear dynamics of the Frenkel-Kontorova model with impurities
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Zigzag kinks in the Frenkel-Kontorova model with a transversal degree of freedom
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Kinks in the Klein-Gordon model with anharmonic interactions: a variational approach
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Nonlinear internal dynamics of the double-sine-Gordon soliton
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Computer simulation of intrinsic localized modes in one-dimensional and two-dimensional anharmonic lattices
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Ground-state phase diagrams for one-dimensional chains with nonlinear interactions
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Localized states in discrete nonlinear Schrödinger equations.
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Moving localized modes in nonlinear lattices
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Energy localization in nonlinear lattices
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Dynamics and thermodynamics of a nonlinear model for DNA denaturation
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Discreteness effects on the formation and propagation of breathers in nonlinear Klein-Gordon equations.
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Observations of localized structures in nonlinear lattices: Domain walls and kinks
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Nature of the open state in long polynucleotide double helices: possibility of soliton excitations
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Asymptotic behavior of one-dimensional nonlinear discrete kink-bearing systems in the continuum limit: Problems of nonuniform convergence
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Movability of localized excitations in nonlinear discrete systems: A separatrix problem
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Discrete breathers
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Dissipative dynamics of the Frenkel-Kontorova model
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7 January 2021
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Interaction of discrete breathers with impurity modes
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7 January 2021
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One-Dimensional Dislocations. I. Static Theory
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One-Dimensional Dislocations. III. Influence of the Second Harmonic Term in the Potential Representation, on the Properties of the Model
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Method for Solving the Korteweg-deVries Equation
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Logarithmic decay of phi4 breathers of energy E <~ 1
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Kink propagation through disordered media
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7 January 2021
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7 January 2021
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Stabilization of breathers in a parametrically driven sine-Gordon system with loss
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Observation of a soliton reconstruction of Au(111) by high-resolution helium-atom diffraction
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Solitons in hydrogen-bonded chains
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Noncutoff kinks in damped and parametrically driven nonlinear lattices
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Thermal Fluctuations in Resonant Motion of Fluxons on a Josephson Transmission Line: Theory and Experiment
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Supercurrents through barriers
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The influence of impurities on interstitial diffusion
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Anharmonic gap modes in a perfect one-dimensional diatomic lattice for standard two-body nearest-neighbor potentials
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Soliton scattering by impurities in hydrogen-bonded chains
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7 January 2021
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Class of localized structures in nonlinear lattices
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7 January 2021
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Creation of nonlinear localized modes in discrete lattices
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7 January 2021
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Dynamics of solitons in nearly integrable systems
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7 January 2021
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Resonant soliton-impurity interactions
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7 January 2021
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Modulational instabilities in discrete lattices
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7 January 2021
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Interference effects in soliton scattering by impurities
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7 January 2021
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Peierls-Nabarro potential barrier for highly localized nonlinear modes
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7 January 2021
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Modulational instabilities in the discrete deformable nonlinear Schrödinger equation.
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Dark solitons in discrete lattices
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7 January 2021
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Asymmetric impurity modes in nonlinear lattices
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The fluctuation-dissipation theorem
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Perturbation theory of single-soliton diffusion in one-dimensional nonlinear Klein-Gordon theories
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Clarification of soliton diffusion in the phi4 theory
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7 January 2021
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Discrete theory of kink diffusion in the phi4 lattice with comparison to the continuum approximation
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7 January 2021
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Persistent breather excitations in an ac-driven sine-Gordon system with loss
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7 January 2021
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Dislocation generation in the two-dimensional Frenkel-Kontorova model at high stresses
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7 January 2021
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Superfluxons in periodically inhomogeneous long Josephson junctions
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Interaction of dislocations with a local defect in an atomic chain with a nonconvex interparticle potential
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7 January 2021
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Interaction of two fluxons near a local inhomogeneity in a long Josephson junction
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Nonconvex interactions and the occurrence of modulated phases
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7 January 2021
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Brownian motion of a sine-Gordon kink
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Application of the method of effective potentials to a model for twinning in elastic materials
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7 January 2021
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Frenkel-Kontorova model with nonconvex-interparticle interactions and strain gradients
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7 January 2021
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Solitary waves in elastic ferromagnets
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7 January 2021
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Frenkel-Kontorova model with anharmonic interactions
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Frenkel-Kontorova model with anharmonic interactions
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7 January 2021
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Formation of cracks from kinks in a Frenkel-Kontorova model with anharmonic interactions
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7 January 2021
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Asymptotic solutions for localized vibrational modes in strongly anharmonic periodic systems
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7 January 2021
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Sine-Gordon solitons under weak stochastic perturbations
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Statistical mechanics of a nonlinear model for DNA denaturation
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Soliton dynamics of hydrogen-bonded networks: A mechanism for proton conductivity
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Nonlinear transport in hydrogen-bonded chains: Free solitonic excitations
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Solitons and electroacoustic interactions in ferroelectric crystals. II. Interactions of solitons and radiations
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Transverse wall instabilities on a driven, damped two-dimensional lattice system
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Energy self-localization and gap local pulses in a two-dimensional nonlinear lattice
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based on heuristic
inferred from DOI database lookup
Low-amplitude breather and envelope solitons in quasi-one-dimensional physical models
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7 January 2021
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One-dimensional diffusion of Escherichia coli DNA-dependent RNA polymerase: a mechanism to facilitate promoter location
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7 January 2021
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Dynamics of nonlinear mass-spring chains near the continuum limit
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reference URL
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7 January 2021
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Discrete model for DNA-promoter dynamics
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7 January 2021
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Quantum deformations of the discrete nonlinear Schrödinger equation.
1 reference
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7 January 2021
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Dynamical properties of DNA promoters
1 reference
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7 January 2021
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DNA promoters and nonlinear dynamics
1 reference
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reference URL
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7 January 2021
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Stability and motion of intrinsic localized modes in nonlinear periodic lattices
1 reference
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reference URL
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7 January 2021
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Soliton dynamics in a magnetic chain. I. Antiferromagnet
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7 January 2021
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Soliton dynamics in a magnetic chain. II. Ferromagnet
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7 January 2021
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Dynamics of ionic defects and lattice solitons in a thermalized hydrogen-bonded chain
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7 January 2021
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Properties of the nonlinear Schrödinger equation on a lattice.
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7 January 2021
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Intrinsic localized modes in anharmonic crystals
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7 January 2021
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Eigenfunctions of the small oscillations about the double-sine-Gordon kink
1 reference
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reference URL
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7 January 2021
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Sine-Gordon kinks on a discrete lattice. II. Static properties
1 reference
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reference URL
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7 January 2021
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Phonon fluctuations and soliton diffusion in nonlinear Hamiltonian systems
1 reference
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reference URL
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7 January 2021
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Low-temperature dynamics of sine-Gordon solitons
1 reference
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reference URL
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7 January 2021
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Fluxon dynamics in one-dimensional Josephson-junction arrays
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7 January 2021
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Stationary solutions of the wave equation in a medium with nonlinearity saturation
1 reference
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reference URL
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7 January 2021
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Kink Propagation in a Highly Discrete System: Observation of Phase Locking to Linear Waves
1 reference
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Crossref
reference URL
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7 January 2021
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Dynamics of circular arrays of Josephson junctions and the discrete sine-Gordon equation
1 reference
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reference URL
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7 January 2021
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Dry friction in the Frenkel-Kontorova-Tomlinson model: Static properties
1 reference
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reference URL
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7 January 2021
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Frustration in a linear array of vortices
1 reference
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7 January 2021
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Sine-Gordon kinks on a discrete lattice. I. Hamiltonian formalism
1 reference
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Crossref
reference URL
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7 January 2021
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Hamiltonian dynamics of the double sine-Gordon kink
1 reference
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reference URL
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7 January 2021
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GaAs(110) terrace-width distributions and kink formation
1 reference
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reference URL
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7 January 2021
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Ground state of the one-dimensional chiral XY model in a field
1 reference
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reference URL
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7 January 2021
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Interaction of "Solitons" in a Collisionless Plasma and the Recurrence of Initial States
1 reference
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reference URL
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7 January 2021
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Soliton excitations in deoxyribonucleic acid (DNA) double helices
1 reference
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Crossref
reference URL
https://api.crossref.org/works/10.1016%2FS0370-1573%2898%2900029-5
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7 January 2021
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Kink internal modes in discrete nonlinear chains
1 reference
stated in
Crossref
reference URL
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7 January 2021
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Kink capture by a local impurity in the sine-Gordon model
1 reference
stated in
Crossref
reference URL
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7 January 2021
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Resonant kink-impurity interactions in the sine-Gordon model
1 reference
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reference URL
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7 January 2021
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Resonant kink-impurity interactions in theφ4model
1 reference
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Crossref
reference URL
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7 January 2021
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Internal-Mode-Induced Resonances in Soliton-Impurity Interactions
1 reference
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reference URL
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10.1016/S0370-1573(98)00029-5
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