Kink dynamics in a parametric \({\phi}^6\) system: a model with controllably many internal modes

DOI10.1007/JHEP12(2017)071zbMath1383.81128arXiv1706.01193MaRDI QIDQ1707733

Avadh Saxena, Robert Decker, Ivan C. Christov, Panayotis G. Kevrekidis, Aslihan Demirkaya

Publication date: 3 April 2018

Published in: Journal of High Energy Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.01193

zbMATH Keywords

nonperturbative effectssolitons monopoles and instantons

Mathematics Subject Classification ID

Model quantum field theories (81T10) Soliton equations (35Q51)

Related Items (14)

Collision of \(\phi^4\) kinks free of the Peierls-Nabarro barrier in the regime of strong discreteness ⋮ Kink solutions in logarithmic scalar field theory: excitation spectra, scattering, and decay of bions ⋮ False vacuum decay in kink scattering ⋮ Kink-antikink collisions and multi-bounce resonance windows in higher-order field theories ⋮ Solitary oscillations and multiple antikink-kink pairs in the double sine-Gordon model ⋮ Collisions of weakly-bound kinks in the Christ-Lee model ⋮ Collisions of kinks in deformed \(\varphi^4\) and \(\varphi^6\) models ⋮ Resonance mediated by fermions in kink-antikink collisions ⋮ Resonance structures in kink-antikink collisions in a deformed sine-Gordon model ⋮ Kink scattering in a hybrid model ⋮ Kink–antikink scattering-induced breathing bound states and oscillons in a parametrized ϕ4 model ⋮ Classical transitions with the topological number changing in the early Universe ⋮ Some novel considerations about the collective coordinates approximation for the scattering of ϕ ⁴ kinks ⋮ Stability of solitary waves in nonlinear Klein–Gordon equations

Cites Work

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• Solitary wave collisions revisited
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• Scattering of the \(\varphi^8\) kinks with power-law asymptotics
• Kink excitation spectra in the \((1+1)\)-dimensional \(\phi^{8}\) model
• A mechanical analog of the two-bounce resonance of solitary waves: Modeling and experiment
• Topological Solitons
• Half-kink lattice solution of the phi⁶model
• Propagation of elastic waves in liquid crystals
• Kink-Antikink Collisions in the phi^4 Equation: The n-Bounce Resonance and the Separatrix Map

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