Necessary conditions for breathers on continuous media to approximate breathers on discrete lattices
From MaRDI portal
Publication:4594568
DOI10.1017/S0956792515000273zbMath1391.35031OpenAlexW2605007351MaRDI QIDQ4594568
Warren R. Smith, Jonathan A. D. Wattis
Publication date: 24 November 2017
Published in: European Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0956792515000273
dispersionsine-Gordon equationlinear dampingleading-order asymptotic approximationmethod of Kuzmak-Lukeperiodic sinusoidal driving
Singular perturbations in context of PDEs (35B25) Second-order semilinear hyperbolic equations (35L71)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Non-holonomic constraints and their impact on discretizations of Klein-Gordon lattice dynamical models
- Nonpersistence of breather families for the perturbed sine Gordon equation
- Existence theorem for solitary waves on lattices
- On a class of discretizations of Hamiltonian nonlinear partial differential equations
- Variational approximations to breather modes in the discrete sine-Gordon equation
- Asymptotic solutions of nonlinear second order differential equations with variable coefficients
- Modulation equations for strongly nonlinear oscillations of an incompressible viscous drop
- Variational approximations to breathers in the discrete sine - Gordon equation II: moving breathers and Peierls - Nabarro energies
- Stationary breather modes of generalized nonlinear Klein-Gordon lattices
- Qualitative analysis of radiating breathers
- Approximations to solitary waves on lattices. II. quasi-continuum methods for fast and slow waves
- Standard nearest-neighbour discretizations of Klein–Gordon models cannot preserve both energy and linear momentum
- A perturbation method for nonlinear dispersive wave problems
- On the sensitivity of strongly nonlinear autonomous oscillators and oscillatory waves to small perturbations
This page was built for publication: Necessary conditions for breathers on continuous media to approximate breathers on discrete lattices