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this picture is to show how a temporal soliton works. I created the three oscillating impulses with the following gnuplot code. First impulse on left:
set samples 5000
set terminal svg
set output "impulse.svg"
set xrange [-7:7]
set yrange [-1.3:1.3]
set key off
set noxtic
set noytic
set xzeroaxis linewidth 0
set yzeroaxis linewidth 0
#set xtics axis
#set ytics axis
E=2.71
plot E**(-(x**2)/(2*4))*cos(2*pi*x/0.4) with lines linewidth 2
Impulse on the top right:
set samples 5000
set terminal svg
set output "impulse2.svg"
set xrange [-5.5:5.5]
set yrange [-1.3:1.3]
set key off
set noxtic
set noytic
set xzeroaxis linewidth 0
set yzeroaxis linewidth 0
#set xtics axis
#set ytics axis
E=2.71
plot E**(-(x**2)/(2*5))*cos(2*pi*x*(0.008*x**2 -0.09*x + 1)/0.4) with lines linewidth 2
Impulse on the bottom left:
set samples 5000
set terminal svg
set output "impulse3.svg"
set xrange [-7:7]
set yrange [-1.3:1.3]
set key off
set noxtic
set noytic
set xzeroaxis linewidth 0
set yzeroaxis linewidth 0
#set xtics axis
#set ytics axis
E=2.71
plot E**(-(x**2)/(2*4))*cos(2*pi*x*(0.008*x**2 +0.09*x + 1)/0.4) with lines linewidth 2
finally I merged them and postprocessed with Inkscape
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