Nonlinear Scrodinger equations solving in matlab
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Hii Friends,
I am pretty new to matlab. Could anyone suggest me a wayt o solve the following nonlinear scrodinger equation
In this equation, the terms B1,B2, alpha, gamma can be considered as constants.
z and t are variables. i is imaginary term = sqrt(-1).
I would like to see how A evolves with z(distance) and time(t).
the intial A can be considered as a gaussian or a plane wave.
Is there any other information that is required?
Pavan
5 个评论
Hi Pavan
is the red graph on the right hand side the result you plan to obtain?
.
this paper shows some of the waveform functions that are solutions to the 1 dimension Schroedinger equation.
Torsten
2017-7-4
What is your interval of integration ?
What are your initial and boundary conditions ?
Best wishes
Torsten.
Pavan Kumar
2017-7-5
Akira Agata
2017-7-5
This Nonlinear Schrodinger Equation is commonly used as a basic propagation model equation in optical fiber communication systems. In this research field, many researchers use split-step fourier method (SSFM) to numerically solve this equation.
https://en.wikipedia.org/wiki/Split-step_method
More details of this method can be found in the textbook "Nonlinear Fiber Optics" written by Dr. Agrawal. Of course, MATLAB can do it !
回答（1 个）
johnson wul
2019-12-21
0 个投票
Hi every one. well I have a problem in building code for numerical scheme of a linear discret equation using finite dieference method.
My eqution is
E*A(i)= P*cos(w*i)*A(i) + Q*( A(i-1) +A(i+1) ) where w,Q are fixed constants and i is interger index on the amplitud A
P=[0 : 6] . I need to plot E=f(P)
anybody can help me? plzzz
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2017-7-4
2019-12-21
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