Nonlinear dynamics of coupled chains of particles

DOI10.1016/0021-8928(95)00042-NzbMath0900.70082OpenAlexW2070834122MaRDI QIDQ1370001

I. Sh. Akhatov, Karima R. Khusnutdinova, V. A. Baikov

Publication date: 4 November 1997

Published in: Journal of Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-8928(95)00042-n

Mathematics Subject Classification ID

Vibrations in dynamical problems in solid mechanics (74H45) Soliton equations (35Q51) Geometric theory, characteristics, transformations in context of PDEs (35A30)

Related Items (9)

On the exchange of energy in coupled Klein --- Gordon equations ⋮ The use of radial basis functions (RBFs) collocation and RBF-QR methods for solving the coupled nonlinear sine-Gordon equations ⋮ A locally stabilized radial basis function partition of unity technique for the sine-Gordon system in nonlinear optics ⋮ Nonlinear resonant vibrations of a rod made of material with oscillating inclusions ⋮ Periodic solutions to Klein-Gordon systems with linear couplings ⋮ Modulational instability of two pairs of counter-propagating waves and energy exchange in a two-component system ⋮ Strong nonlinearity, anisotropy, and solitons in a lattice with holonomic constraints ⋮ Dissipation-preserving rational spectral-Galerkin method for strongly damped nonlinear wave system involving mixed fractional Laplacians in unbounded domains ⋮ Instabilities of multiphase wave trains in coupled nonlinear Schrödinger equations: A bisymplectic framework

Cites Work

• CRC Handbook of Lie Group Analysis of Differential Equations, Volume I
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