Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Micro–macro transition in the atomic chain via Whitham's modulation equation - MaRDI portal

Micro–macro transition in the atomic chain via Whitham's modulation equation

From MaRDI portal
Publication:5476099

DOI10.1088/0951-7715/19/2/013zbMath1134.37362OpenAlexW2109334661WikidataQ59901976 ScholiaQ59901976MaRDI QIDQ5476099

Alexander Mielke, Michael Herrmann, Wolfgang Dreyer

Publication date: 29 June 2006

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0951-7715/19/2/013




Related Items

NONLINEAR WAVES IN NEWTON'S CRADLE AND THE DISCRETE p-SCHRÖDINGER EQUATIONSolitary waves in FPU-type latticesThe Validity of Whitham's Approximation for a Klein--Gordon--Boussinesq ModelPeriodic travelling waves and compactons in granular chainsBell-polynomial approach and Wronskian determinant solutions for three sets of differential-difference nonlinear evolution equations with symbolic computationSpectral validation of the Whitham equations for periodic waves of lattice dynamical systemsAction minimising fronts in general FPU-type chainsMetastability and dispersive shock waves in the Fermi-Pasta-Ulam systemHigh-energy waves in superpolynomial FPU-type chainsNumerical experiments on the modulation theory for the nonlinear atomic chainA uniqueness result for a simple superlinear eigenvalue problemThe validity of the KdV approximation in case of resonances arising from periodic mediaMacroscopic behavior of microscopic oscillations in harmonic lattices via Wigner-Husimi transformsOn selection criteria for problems with moving inhomogeneitiesNonlinear Localized Waves of Deformation in the Class of Metamaterials as Set as the Mass-in-mass ChainStability of high-energy solitary waves in Fermi-Pasta-Ulam-Tsingou chainsDiscrete and continuous scalar conservation lawsValidity of Whitham's equations for the modulation of periodic traveling waves in the NLS equationLagrangian and Hamiltonian two-scale reductionDispersive shock waves in lattices: a dimension reduction approach