A discrete $\phi^4$ system without a Peierls - Nabarro barrier

DOI10.1088/0951-7715/10/6/010zbMath0907.60096arXivpatt-sol/9703005OpenAlexW3101624470MaRDI QIDQ3841232

J. M. Speight

Publication date: 2 March 1999

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/patt-sol/9703005

Mathematics Subject Classification ID

Related Items (13)

Collision of \(\phi^4\) kinks free of the Peierls-Nabarro barrier in the regime of strong discreteness ⋮ FERMION SPECTRUM AND LOCALIZATION ON KINKS IN A DECONSTRUCTED DIMENSION ⋮ Dynamical transitions between equilibria in a dissipative Klein-Gordon lattice ⋮ Translationally invariant kink solutions of discrete \(\varphi^4\) models ⋮ On a class of discretizations of Hamiltonian nonlinear partial differential equations ⋮ Resonant interaction of \(\phi^4\) kink with \(\mathcal{PT}\)-symmetric perturbation with spatially periodic gain/loss coefficient ⋮ A new barrier to the existence of moving kinks in Frenkel-Kontorova lattices ⋮ Integrable discrete static Hamiltonian with a parametric double-well potential ⋮ Integrability revisited: a necessary condition ⋮ Normal form for travelling kinks in discrete Klein-Gordon lattices ⋮ Propagation failure in the discrete Nagumo equation ⋮ Exceptional Discretizations of the NLS: Exact Solutions and Conservation Laws ⋮ Moving kinks and nanopterons in the nonlinear Klein-Gordon lattice

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