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Breather statics and dynamics in Klein-Gordon chains with a bend
Nonlinear model the model of the power of the bending Angle scattering
2014/12/29
In this paper, we examine a nonlinear model with an impurity emulating a bend. We justify the geometric interpretation of the model and connect it with earlier work on models including geometric effec...
Asymptotic behaviour of small solutions for the discrete nonlinear Schrödinger and Klein–Gordon equations
Discrete schrodinger propagator klein Gordon equation form the analysis of decay estimate
2014/12/29
We show decay estimates for the propagator of the discrete Schrödinger and Klein–Gordon equations in the form {{\| {U(t)f} \|}_{{l^\infty}}} \leq C (1+|t|)^{-d/3}{{\| {f} \|}_{{l^1}}} . This impl...
Discrete Klein–Gordon models with static kinks free of the Peierls–Nabarro potential
Gordon type model nonlinear klein discretization static kink lattice the discrete model
2014/12/25
For the nonlinear Klein–Gordon type models, we describe a general method of discretization in which the static kink can be placed anywhere with respect to the lattice. These discrete models are, there...
Standard nearest-neighbour discretizations of Klein–Gordon models cannot preserve both energy and linear momentum
Discrete nonlinear klein GeDengBo equation the standard discrete linear momentum
2014/12/25
We consider nonlinear Klein–Gordon wave equations and illustrate that standard discretizations thereof (involving nearest neighbours) may preserve either standardly defined linear momentum or standard...
On the stability of multibreathers in Klein-Gordon chains
Linear stability chain coupled oscillator soft nonlinear coupling
2014/12/24
In this paper, a theorem, which determines the linear stability of multibreathers excited over adjacent coupled oscillators in Klein–Gordon chains, is proven. Specifically, it is shown that for soft n...
Multibreather and vortex breather stability in Klein–Gordon lattices: Equivalence between two different approaches
Multibreather configuration stability discrete respirator the coupled oscillator
2014/12/24
In this work, we revisit the question of stability of multibreather configurations, i.e., discrete breathers with multiple excited sites at the anti-continuum limit of uncoupled oscillators. We presen...
16-Mar-2007，The Aberdeen Business School at The Robert Gordon University has been given £95,600 funding by the European Commission TEMPUS-MEDA programme to carry out a 12-month study to produce ...