Scattering of the double sine-Gordon kinks

Abstract

We study the scattering of kink and antikink of the double sine-Gordon model. There is a critical value of the initial velocity $v_{cr}$ of the colliding kinks, which separates different regimes of the collision. At $v_{in}>v_{cr}$ we observe kinks reflection, while at $v_{in}<v_{cr}$ their interaction is complicated with capture and escape windows. We obtain the dependence of $v_{cr}$ on the parameter of the model. This dependence possesses a series of local maxima, which has not been reported by other authors. At some initial velocities below the critical value we observe a new phenomenon -- the escape of two oscillons in the final state. Besides that, at $v_{in}<v_{cr}$ we found the initial kinks' velocities at which the oscillons do not escape, and the final configuration looks like a bound state of two oscillons.

12 pages, 7 figures; v2: minor changes to match version published in EPJ C

References in corpus (66)

• Kink-antikink collisions in the phi^6 model
• Non-integrable aspects of the multi-frequency Sine-Gordon model
• Deformed Defects
• Kink interactions in the (1+1)-dimensional ${\phi }^6$ model
• Collective Coordinates in One-Dimensional Soliton Models Revisited
• Kink-antikink interactions in the double sine-Gordon equation and the problem of resonance frequencies
• Kink excitation spectra in the (1+1)-dimensional ${\phi }^8$ model
• Scattering of the ${\phi }^8$ kinks with power-law asymptotics
• Successive phase transitions and kink solutions in ${\varphi }^8$, ${\varphi }^{10}$, and ${\varphi }^{12}$ field theories
• Josephson vortices and the Atiyah-Manton construction
• Kink-Antikink Scattering in ϕ^4 and ϕ^6 Models
• Multi-kink collisions in the ${\varphi }^6$ model
• Correspondence between Skyrmions in 2+1 and 3+1 Dimensions
• Domain wall Skyrmions
• Matryoshka Skyrmions
• New results for deformed defects
• Solitary Wave Interactions In Dispersive Equations Using Manton's Approach
• Jewels on a wall ring
• Deformed defects for scalar fields with polynomial interactions
• Reflection, transmutation, annihilation and resonance in two-component kink collisions
• Kink Dynamics in a Parametric ${\varphi }^6$ System: A Model With Controllably Many Internal Modes
• Radial excitations of Q-balls, and their D-term
• Physical dynamics of quasi-particles in nonlinear wave equations
• The dynamics of domain wall Skyrmions
• Energy momentum tensor, stability, and the D-term of Q-balls
• Highly interactive kink solutions
• Kink dynamics in a system of two coupled scalar fields in two space-time dimensions
• High energy density in the collision of $N$ kinks in the ${\varphi }^4$ model
• Semi-analytic techniques for calculating bubble wall profiles
• Exact solutions, energy and charge of stable Q-balls
• Analytic Q-ball solutions and their stability in a piecewise parabolic potential
• Information-Entropic Measure of Energy-Degenerate Kinks in Two-Field Models
• Extreme values of elastic strain and energy in sine-Gordon multi-kink collisions
• Compact Q-balls
• Vacuum Polarization Energy for General Backgrounds in One Space Dimension
• High energy density in multi-soliton collisions
• Scalar triplet on a domain wall: an exact solution
• Topological defects with power-law tails
• Non-BPS domain wall configurations in a supersymmetric model
• A remark on collisions of domain walls in a supersymmetric model
• Example of a self-consistent solution for a fermion on domain wall
• On U(1)-charged domain walls
• Kinklike structures in scalar field theories: from one-field to two-field models
• Split Q-Balls
• First-order formalism for twinlike models with several real scalar fields
• Fermionic bound states in distinct kinklike backgrounds
• The energy-momentum tensor and D-term of Q-clouds
• Singularity-free model of electrically charged fermionic particles and gauged Q-balls
• Stable branches of a solution for a fermion on domain wall
• Emerging Translational Variance: Vacuum Polarization Energy of the ${\varphi }^6$ kink
• New models for two real scalar fields and their kinklike solutions
• Scattering of kinks in a non-polynomial model
• Composite-kink solutions of coupled nonlinear wave equations
• Collective coordinate approximation to the scattering of solitons in the (1+1) dimensional NLS model
• Long-range interacting solitons: pattern formation and nonextensive thermostatistics
• Head butting sheep: Kink Collisions in the Presence of False Vacua
• Collective coordinate variable for soliton-potential system in sine-Gordon model
• Resonance phenomena in the ${\phi }^8$ kinks scattering
• Fermion bound states in geometrically deformed backgrounds
• Q-lumps on a Domain Wall with a Spin-Orbit Interaction
• Transitions between topologically non-trivial configurations
• Charged Domain Walls
• Excitation spectra of solitary waves in scalar field models with polynomial self-interaction
• On decay of large amplitude bubble of disoriented chiral condensate
• Scalar triplet on a domain wall
• Study of Stability of a Charged Topological Soliton in the System of Two Interacting Scalar Fields

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• Collisions of kinks in deformed ${\phi }^4$ and ${\phi }^6$ models
• Kink-antikink collisions in the ${\varphi }^8$ model: short-range to long-range journey
• Kink scattering in hyperbolic models
• Kink-Antikink Collisions in the Periodic ${\phi }^4$ Model
• Kink-antikink collision in a Lorentz-violating ${\varphi }^4$ model
• False vacuum decay in kink scattering
• Kink solutions in logarithmic scalar field theory: Excitation spectra, scattering, and decay of bions
• Asymmetric kink scattering in a two-component scalar field theory model
• Quasinormal modes in kink excitations and kink-antikink interactions: a toy model
• Collision of ${\varphi }^4$ kinks free of the Peierls-Nabarro barrier in the regime of strong discreteness
• Wobbling kinks in a two-component scalar field theory: Interaction between shape modes
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• Resonance mediated by fermions in kink-antikink collisions
• Asymmetric scattering between kinks and wobblers
• A new look at the double sine-Gordon kink-antikink scattering
• Semi-compactness and multiple oscillating pulses in kink scattering
• Solitary oscillations and multiple antikink-kink pairs in the double sine-Gordon model
• Scattering of kinks in the $B{\phi }^4$ model
• Scattering of compactlike structures
• Supersymmetric Inhomogeneous Field Theories in 1+1 Dimensions
• Collective coordinates for the hybrid model
• Fermions on wobbling kinks: normal versus quasinormal modes
• Scattering of the asymmetric ${\varphi }^6$ kinks from a $\mathcal{P}\mathcal{T}$-symmetric perturbation: Creation of multiple pairs of kink-antikink from phonons
• Kink-antikink scattering-induced breathing bound states and oscillons in a parametrized ${\varphi }^4$ model
• Emergence of oscillons in kink-impurity interactions
• Kink Collision in the Noncanonical ${\phi }^6$ Model: A Model with Localized Inner Structures
• Geometrically constrained sine-Gordon field: BPS solitons and their collisions
• Kinks in the relativistic model with logarithmic nonlinearity
• The role of the massless phantom term in the stability of a non-topological soliton solution
• Stability Catalyzer for a Relativistic Non-Topological Soliton Solution
• Kinks in generalized scalar field models and their scattering properties
• Domain wall thickness and deformations of the field model
• New twinlike models for scalar fields
• A new model with solitary waves: solution, stability and quasinormal modes
• Extended multi-scalar field theories in (1+1) dimensions
• Faster-Than-Light Solitons in 1 + 1 Dimensions
• Scattering of kinks in scalar-field models with higher-order self-interactions
• Introducing a Relativistic Nonlinear Field System With a Single Stable Non-Topological Soliton Solution in 1+1 Dimensions
• Geometrical deformation of brane matter field within $f(R,Q,P)$ gravity
• Kink dynamics in a high-order field model
• Dynamics of kink train solutions in deformed Multiple sine-Gordon models
• Vacuum state perturbed by an oscillon: composite configurations in ${\varphi }^4$ model
• Zero Rest Mass Soliton Solutions
• Remarks on sine-Gordon kink--fermion system: localized modes and scattering
• Kinks scattering in deformed ${\phi }^6$ model
• Scattering between orthogonally wobbling kinks