Application of quasi-continuum models for perturbation analysis of discrete kinks

DOI10.1007/s11071-011-0198-9zbMath1247.35119OpenAlexW2014599215MaRDI QIDQ437458

Elena G. Kholod, Igor V. Andrianov, Dieter Weichert

Publication date: 17 July 2012

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-011-0198-9

zbMATH Keywords

Padé approximantssine-Gordon equationkink\(\varPhi ^{4}\) modelimproved continuum model

Mathematics Subject Classification ID

Soliton equations (35Q51) Soliton solutions (35C08)

Related Items

Multi-field modeling of a Cosserat lattice: models, wave filtering, and boundary effects ⋮ Numerical investigation of 1D continuum dynamical models of discrete chain

Cites Work

• Continuous models for 1D discrete media valid for higher-frequency domain
• Multi-field approach in mechanics of structural solids
• Improved continuous models for discrete media
• Hamiltonian dynamics of dense chains and lattices: or how to correct the continuum
• On causality of the gradient elasticity models
• Continuous approximations of difference operators
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