Chris Eilbeck  Cine films Home Page
List of computerproduced cine films (in .wmv format):
 Solitons
and bions in nonlinear optics,
 6 mins. white on blue,
with sound (1973) [23.4Mb]
 (The name "bion" never caught on 
nowadays this would be called a "breather"). The first part of the
film shows (exact) solutions of the SelfInduced Transparency (SIT)
equations, the second shows (exact) solutions of the Reduced
MaxwellBloch (RMB) equations. See J. Phys. A., 6, 13371347
(1973). The solutions of the RMB equations can easily transformed
into solutions of the sineGordon (SG) equation.

Numerical solutions of the Regularized Long Wave
equation,
 3 mins. colour, silent (1975) [9.3Mb]
 (The
RLW equation is modified version of the KdV equation, and solutions at
this resolution would look very similar, except for the square wave
initial conditions. Also called the BBM (Benjamin, Bona and Mahony)
equation). See J. Comp. Phys. 23, 6373 (1977)..
 Boomerons and Zoomerons,
 2x6
mins. white/blue, silent (1977) [30.1Mb and 22Mb]
 See papers by
Calogero and Degasperis: Lettere al Nuovo Cimento
16 425433, 434438, 1976).
 Two dimensional
solitons,
 4 mins. white/blue, silent (1978). [22.6Mb]
 (Mostly on solutions of the KP equation, see Freeman N.C.,
Proc. Roy. Soc. A, 366, 185204, 1979).
 Pulse
evolution on single and coupled nerve fibres,
 6 mins.
white/blue, silent (1979) [14.8Mb]
 See
Bull. Math. Biol. 43, 389400 (1981)
 A mathematical model for pattern
formation in biology,
 6 mins. white/blue, silent (1980)
[43.9Mb]
 See Physica D: Nonlinear Phenomena, 3, 439456
(1981).
 Davydov
solitons on the αhelix,
 6 mins. white/blue,
silent (1980) [43.8Mb]
 (see Scott, A.C., Physica D, 51,
333342, 1991).
 Nonlinear
evolution equations,
 12 mins. colour, with sound (1981)
[124Mb]
 (A film made to show at an ATLAS lab open day,
highlighting the work made using the FR80 graphics device).
 SineGordon
solitons,
 (with P S Lomdahl), l4 mins. white/blue,
with sound (1982) [65.8Mb].
 (see Nuovo Cim. 25B, 497512
(1975), Appl. Phys. Lett. 39, 108110 (1981),
Phys. Lett. 87A, 14 (1981)).
 Kinkkink
interactions in the φ^4 model,
 5 mins.
white/blue, silent (1982) [26.4Mb].
 (See R K Dodd, J C
Eilbeck, J D Gibbon, and H C Morris, Solitons and Nonlinear
Wave Equations, pp 640, London: Academic Press, 1982, Ch 10).
> Chris Eilbeck's home page
Chris Eilbeck / HeriotWatt University /J.C.Eilbeck at
hw.ac.uk / tel. +44 (0)131 451 3220