Historical Note: On the simulation of dispersive wave propagation by elasticity models

Alfred Seeger (1)

1 Max-Planck-Institut für Metallforschung

Attention is called to E. Schrödinger's elegant analytical solution [Annalen Physik 44 (1914) 916] of the initial-value problem for the Born-von Kármán model of an infinite one-dimensional chain of uniformly spaced particles of mass M with nearest-neighbour coupling by harmonic springs. This model has recently served as the starting point for a computer study of the transition to partial differential equations describing dispersive wave propagation in inhomogeneous media [H. Askes et al., Philos. Mag. 88 (2008) 3415]. Schrödinger's solution allows the main features of the limit process involved in this transition to be studied in a straightforward way.

Mots clés: Physical Sciences

Alfred Seeger. Historical Note: On the simulation of dispersive wave propagation by elasticity models. Philosophical Magazine, 2010, 90 (09), pp.1101-1104. ⟨10.1080/14786430903292357⟩. ⟨hal-00581018⟩