the plot of a 2nd order soliton. It's the 2D plot of the modulus of the following function:
I made it with the following Gnuplot code:
set terminal svg
set output "Soliton_2nd_order.svg"
# choose quality
set samples 50, 50
set isosamples 70
# change the angle the plot is shown
set view 55, 45, 1, 2
# output of the surface
set pm3d at bs
set hidden3d offset 1 trianglepattern 3 undefined 1 altdiagonal bentover
set style data lines
# remove the box with the meaning of the color
unset colorbox
# set ranges
set xrange [-1.5:1.5]
set yrange [0:pi]
set zrange [0:1]
set grid
set key off
# remove tics on the z-axis
unset ztics
set xlabel "xi"
set ylabel "zeta"
#set xzeroaxis linetype -1 linewidth 0.5
#set yzeroaxis linetype -1 linewidth 0.5
set xtics axis
set ytics axis
I=sqrt(-1)
splot abs((cosh(3*x) + 3*exp(4*I*y)*cosh(x))/(cosh(4*x) + 4*cosh(2*x) + 3*cos(4*y)))
Date
Source
own work
This W3C-unspecified plot was created with Gnuplot.
I, the copyright holder of this work, hereby publish it under the following licenses:
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.
{{Information |Description=the plot of a 2nd order soliton. It's the 2D plot of the modulus of the following function: :<math> a(\xi,\zeta) = \frac{4[\cosh (3 \xi) + 3 e^{4 i \zeta} \cosh (\xi)] e^{i \zeta / 2}}{\cosh (4 \xi) + 4 \cosh (2 \xi) + 3 \cos (4