id: 02366736
dt: j
an: 2006a.00585
au: Turner, Paul R.
ti: Balls, boxes and solitary waves.
so: Math. Gaz. 87, No. 510, 468-476 (2003).
py: 2003
pu: Cambridge University Press, Cambridge; Mathematical Association (MA),
Leicester
la: EN
cc: I70 I90
ut: solitons; solitary waves; cellular automata; differential equations
ci:
li:
ab: This article aims to publicise certain simple cellular automata, which
model solitary waves and describes how these can be used as the basis
of a mathematical investigation in the classroom. A soliton is a wave
trying both to break and disperse at the same time. This phenomenon was
recorded by Russell in 1834. A ball and box model is developed as a
means of modelling waves, before a more mathematical formulation is
presented, together with the relevant differential equation.
rv: