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
This plot uses embedded text that can be easily translated using a text editor.
Licensing
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Permission is granted to copy, distribute and/or modify this document under the terms of the GNU Free Documentation License, Version 1.2 or any later version published by the Free Software Foundation; with no Invariant Sections, no Front-Cover Texts, and no Back-Cover Texts. A copy of the license is included in the section entitled GNU Free Documentation License.http://www.gnu.org/copyleft/fdl.htmlGFDLGNU Free Documentation Licensetruetrue
to share – to copy, distribute and transmit the work
to remix – to adapt the work
Under the following conditions:
attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
This licensing tag was added to this file as part of the GFDL licensing update.http://creativecommons.org/licenses/by-sa/3.0/CC BY-SA 3.0Creative Commons Attribution-Share Alike 3.0truetrue
to share – to copy, distribute and transmit the work
to remix – to adapt the work
Under the following conditions:
attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.
== Summary == {{Information |Description=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: <pre> set samples 5000 set terminal svg set output "impulse.svg