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math-ph2017★ 5 cited
Long wavelength solitary waves in Hertzian chains and their properties in different nonlinearity regimes
Stephen C. Anco, Michelle Przedborski
Properties of solitary waves in pre-compressed Hertzian chains of particles are studied in the long wavelength limit using a well-known continuum model. Several main results are ob…
math-ph2015★ 10 cited
Travelling waves and conservation laws for highly nonlinear wave equations modelling Hertz chains
Michelle Przedborski, Stephen C. Anco
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-la…