File:Soliton 2nd order.svg

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Soliton_2nd_order.svg‎ (SVG file, nominally 474 × 508 pixels, file size: 2.74 MB)

[edit] Summary

Description

the plot of a 2nd order soliton. It's the 2D plot of the modulus of the following function:

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 \xi)}

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

February 2007(2007-02)
Source own work
Lissajous small.svg
 This vector image was created with gnuplot.
Author

Alessio Damato
Permission
(Reusing this file)

See below.

[edit] Licensing

I, the copyright holder of this work, hereby publish it under the following licenses:
GNU head 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.

w:en:Creative Commons
attribution share alike		 This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).
  • share alike – If you alter, transform, or build upon this work, you may distribute the resulting work only under the same or similar license to this one.
This licensing tag was added to this file as part of the GFDL licensing update.

w:en:Creative Commons
attribution share alike		 This file is licensed under the Creative Commons Attribution-Share Alike 2.5 Generic, 2.0 Generic and 1.0 Generic license.
You are free:
  • to share – to copy, distribute and transmit the work
  • to remix – to adapt the work
Under the following conditions:
  • attribution – You must attribute the work in the manner specified by the author or licensor (but not in any way that suggests that they endorse you or your use of the work).
  • share alike – If you alter, transform, or build upon this work, you may distribute the resulting work only under the same or similar license to this one.
You may select the license of your choice.

File history

Click on a date/time to view the file as it appeared at that time.

Date/TimeThumbnailDimensionsUserComment
current19:17, 12 February 2007Thumbnail for version as of 19:17, 12 February 2007474 × 508 (2.74 MB)Alejo2083 ({{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)

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Width 474
Height 508
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