Stress Wave Anisotropy in Centered Square Highly Nonlinear Granular Systems [PDF]
, 2012 Highly ordered, close packed granular systems present a nonlinear dynamic behavior stemming from the Hertzian contact interaction between particles. We investigated the propagation of elastic stress waves in an uncompressed, centered square array of ...
Daraio, C., Leonard, A.
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Results in Physics, 2020 In this article, we consider the extended Zakharov–Kuznetsov (EZK) equation, which describes the nonlinear plasma dust acoustic waves (DAWs) in a magnetized dusty plasma.
Shrouk Wael +4 more
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On the nonlinear dynamics of the traveling-wave solutions of the Serre system [PDF]
, 2016 We numerically study nonlinear phenomena related to the dynamics of traveling wave solutions of the Serre equations including the stability, the persistence, the interactions and the breaking of solitary waves.
Ablowitz +35 more
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A discontinuous Galerkin method for a new class of Green-Naghdi equations on simplicial unstructured meshes [PDF]
, 2016 In this paper, we introduce a discontinuous Finite Element formulation on simplicial unstructured meshes for the study of free surface flows based on the fully nonlinear and weakly dispersive Green-Naghdi equations.
Duran, Arnaud, Marche, Fabien
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Travelling waves and conservation laws for highly nonlinear wave equations modelling Hertz chains
, 2017 A highly nonlinear, fourth-order wave equation that models the continuum theory of long wavelength pulses in weakly compressed, discrete, homogeneous chains with a general power-law contact interaction is studied.
Anco, Stephen C., Przedborski, Michelle
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Solitary wave interaction in a compact equation for deep-water gravity waves [PDF]
, 2012 In this study we compute numerical traveling wave solutions to a compact version of the Zakharov equation for unidirectional deep-water waves recently derived by Dyachenko & Zakharov (2011) Furthermore, by means of an accurate Fourier-type spectral ...
A. I. Dyachenko +20 more
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Shear induced breaking of large internal solitary waves [PDF]
, 2009 The stability properties of 24 experimentally generated internal solitary waves (ISWs) of extremely large amplitude, all with minimum Richardson number less than 1/4, are investigated.
Carr, Magda +4 more
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Highly nonlinear solitary wave propagation in Y-shaped granular crystals with variable branch angles [PDF]
Physical Review E, 2012 We study the propagation of highly nonlinear waves in a branched (Y-shaped) granular crystal composed of chains of spherical particles of different materials, arranged at variable branch angles. We experimentally test the dynamic behavior of a solitary pulse, or of a train of solitary waves, crossing the Y-junction interface, and splitting between the ...
D. Ngo, FRATERNALI, Fernando, C. Daraio
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A scalar nonlocal bifurcation of solitary waves for coupled nonlinear Schroedinger systems
, 2002 An explanation is given for previous numerical results which suggest a certain bifurcation of `vector solitons' from scalar (single-component) solitary waves in coupled nonlinear Schroedinger (NLS) systems.
Akhmediev N N +9 more
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Strongly Nonlinear Waves in 3D Phononic Crystals [PDF]
, 2004 Three dimensional phononic crystal ("sonic vacuum" without prestress) was assembled from 137 vertical cavities arranged in hexagonal pattern in Silicone matrix filled with stainless steel spheres. This system has unique strongly nonlinear properties with
Daraio, C., Jin, S., Nesterenko, V.
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