Why Do Simulated and Theoretical Soliton Collisions Differ?

  • Context: Graduate 
  • Thread starter Thread starter hanson
  • Start date Start date
  • Tags Tags
    Collision Soliton
Click For Summary
SUMMARY

The discussion centers on the discrepancies observed when plotting soliton collisions from the Nonlinear Schrödinger (NLS) equation using MATLAB, specifically referencing R.S. Johnson's book. The user successfully replicated parameters but noted differences in the resulting graph compared to the book's figure. Suggestions were made to verify the input function as a valid solution of the NLS and to consider using alternative software like Maple or Mathematica for cross-verification.

PREREQUISITES
  • Understanding of the Nonlinear Schrödinger (NLS) equation
  • Proficiency in MATLAB for numerical simulations
  • Familiarity with R.S. Johnson's work on solitons
  • Basic knowledge of alternative mathematical software such as Maple or Mathematica
NEXT STEPS
  • Verify the input function for the NLS equation in MATLAB
  • Explore soliton collision animations available online
  • Learn to use Maple for plotting NLS soliton solutions
  • Investigate Mathematica's capabilities for simulating soliton interactions
USEFUL FOR

Researchers, physicists, and mathematicians studying soliton dynamics, particularly those working with the Nonlinear Schrödinger equation and numerical simulations in MATLAB.

hanson
Messages
312
Reaction score
0
Hi all.
I am studying the collision of two solitons of the NLS equation.
Actually I just want to plot out the exact solutions given in R.S.Johnson's book. (page 321, figure 4.4).
I have used MATLAB to do this and produced the figure using exactly the same values for the parameters.
However, the produced graph is a little bit different from that in R.S.Johnson's book during collision.
I am wondering what's wrong.

Is there any standard animation available in the internet for the collision of two NLS solitons? This sounds very standard, but I can hardly find any...
Will you have any reference?
 
Physics news on Phys.org
Did you check that the function which you input is in fact a solution of the NLS? Did you try plotting/checking it using another package such as Maple or Mathematica?
 

Similar threads

Graduate Estimating Pitch & Volume of Collision Sounds
  • · Replies 14 ·
Replies
14
Views
3K
Graduate Noise in Landau–Zener transition
  • · Replies 0 ·
Replies
0
Views
908
Rigid body simulation of complex mechanical systems
  • · Replies 3 ·
Replies
3
Views
4K
Undergrad How powerful would a collider have to be to observe a sphaleron?
  • · Replies 2 ·
Replies
2
Views
3K
Physics simulation of a collision in 1D
  • · Replies 1 ·
Replies
1
Views
2K
Programs Mathematical/Theoretical Physics MSc with High Teaching Quality
  • · Replies 1 ·
Replies
1
Views
1K
Calculating delay b/w signals using correlation
  • · Replies 10 ·
Replies
10
Views
4K
Undergrad 1D wavepacket scattering simulation, momentum distribution formula
  • · Replies 24 ·
Replies
24
Views
2K
Graduate What keeps Rhea stable? Simulation shows Titan-assist escape
  • · Replies 6 ·
Replies
6
Views
3K
There are two bodies colliding Simulate the collision phenomena by num
  • · Replies 1 ·
Replies
1
Views
2K