[Matlab] Numerical Code for the NLS equation

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SUMMARY

The forum discussion centers on a MATLAB code implementation for the Nonlinear Schrödinger (NLS) equation. Users encountered errors when executing the code, specifically related to the 'input' function and undefined variables such as 'dtau'. The primary issue arises from a naming conflict with a user-defined script named 'input.m', which interferes with MATLAB's built-in 'input' function. To resolve this, users must rename or relocate their custom script to avoid conflicts.

PREREQUISITES
  • Familiarity with MATLAB programming, specifically version 2010 or later.
  • Understanding of the Nonlinear Schrödinger equation and its numerical methods.
  • Knowledge of Fourier Transform techniques as applied in MATLAB.
  • Basic experience with defining and using variables in MATLAB scripts.
NEXT STEPS
  • Rename or relocate any user-defined scripts that conflict with built-in MATLAB functions.
  • Define the variable 'dtau' before its usage in the code.
  • Review MATLAB documentation on the 'input' function to understand its proper usage.
  • Explore MATLAB's error handling techniques to troubleshoot similar issues in the future.
USEFUL FOR

This discussion is beneficial for MATLAB users, particularly those working with numerical simulations of the Nonlinear Schrödinger equation, as well as developers troubleshooting function conflicts in their scripts.

queenstudy
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hello
i just copied the Numerical Code for the NLS equation which is the following:
%---specify input parameters
clear all;
distance=input('enter fiber length(in units of L_D)=');
beta2=input(' dispersion: 1 for normal, -1 for anomalous');
N=input('Nonlinear parameter N=');
mshape=input('m=0 for sech , m>0 for super-Gaussian =');
chirp0=0; % input pulse chirp
%--- set stimulation parameters
nt=1024; Tmax=32; % FFT points and window size
step_num=round(20*distance*N^2); % number of z steps
deltaz=distance/step_num; % step size in tau
%--- tau and omega arrays
tau=(-nt/2:nt/2-1)*dtau; % temporal grid
omega=(pi/Tmax)*[(0:nt/2-1)*(-nt/2 :-1)];% frequency grid
%--- input field profile
if mshape==0
uu= sech(tau)*exxp(-0.5i*chirp0*tau.^2); %soliton
else %super Gaussian
uu=exp((-0.5*(1+1i*chirp0)*tau.^(2*mshape)));
end
%-- plot input pulse shape and spectrum
temp=fftshift(ifft(uu)).*(nt*dtau)/sqrt(2*pi);%spectrum
figure; subplot(2,1,1);
plot(tau,abs(uu).^2,'--k');hold on;
axis([-5 5 0 inf]);
xlabel('normalized time');
yalebl('normalized power');
title('input and output pulse shape and spectrum');
subplot(2,1,2);
plot(fftshift(omega)/(2*pi),abs(temp).^2,'--k');hold on;
axis([-.5 .5 0 inf]);
xlabel('normalized frequency');
ylabel('spectral power');
%---store dispersive phase shifts to speedup code
dispersion=exp(1i*0.5*beta2*omega.^2 *deltaz);%phase factor
hhz=1i*N^2*deltaz; % nonlinear phase factor
%******[beginning of main loop]****
%scheme:1/2N -> D-> 1/2N; first half step nonlinear
temp=uu.*exp(abs(uu).^2.*hhz/2); %note hhz/2
for n=1:step_num
f_temp=ifft(temp).*dispersion;
u=fft(f_temp);
temp=uu.*exp(abs(uu).^2.*hhz);
end
uu=temp.*exp(-abs(uu).^2.*hhz/2); % final field
temp=fftshift(ifft(uu)).*(nt*dtau)/sqrt(2*pi);%final spectrum
%*****[end of main loop]********

%----- plot output pulse shape and spectrum
subplot(2,1,1)
plot(tau,abs(uu).^2,'-k')
subplot(2,1,2)
plot(fftshift(omega)/(2*pi),abs(temp).^2,'-k')


and as syntax there no mistake but when i wanted to run it they told me the following error:

Error in ==> Untitlednls at 3
distance= input('enter fiber length(in units of L_D)=');
what should i do even though i just copied it
 
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I just copied and pasted the code in your post, and I don't get the same error as you, line 3 works fine.

However, I do get other errors; dtau is not defined, the line where the frequency grid is defined (line 14) is not working because the (I assume) there is a dot missing in front of the "*"

Hence, the code as is does not work.

I am using Matlab 2012b

Edit: Btw, I just realized that the error message you posted does not look like Matlab. Are you trying to run this in Python using scipy?
If so I don't think it will work without some modifications.
 
no i am trying to run it in matlab2010 does it make any difference between different editons
 
thats the exact error that is given to me

? Attempt to execute SCRIPT input as a function:
C:\Users\Abd Lebnen\Documents\MATLAB\input.m

Error in ==> leboz at 3
distance= input('enter fiber length (in units of L_D)= ');
 
queenstudy said:
? Attempt to execute SCRIPT input as a function:
C:\Users\Abd Lebnen\Documents\MATLAB\input.m

Error in ==> leboz at 3
distance= input('enter fiber length (in units of L_D)= ');
If only you'd given the full error message before!

It looks like the problem is that instead of using the built-in "input" function, it's trying to use the contents of "C:\Users\Abd Lebnen\Documents\MATLAB\input.m" instead. You need to rename that file or move it somewhere else where MATLAB won't find it.
 

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