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Help in Split step fourier method 
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#1
Feb1109, 11:01 AM

P: 5

Hello all,
I have short question at the end , but i wil gve short background. The subject is regarding the split step fourier method (SSFM) adn i will be gratefull if someone who know the method can help. i have the set of 2 equations: Utt=Uzza*U+i*P(P^2)*U Pt=i*P(P^2)*U where: P, U are the function need to be find P(z,t) U(z,t) i = sqrt(1) a=constant I try to do the split step fourier method (SSFM) on this set, the problem is that the first equation derivative are from order 2, and in all the examples i saw it was from order 1. I try to seperate to linear part and nonlinear part: for the first equation: U_linear_tt=Uzza*U U_nonlinear_tt= i*P(P^2)*U and for the second equation: P_linear_t=i*P P_nonlinear_t=(P^2)*U now when i try to do the fourier transform at the linear part, for the U function, it is problem because the derivative is second order. if it was from first order the fourier transform for the linear part becomes: Fourier_U_linear(t+dt,z)=exp{(w^2a)*dt} how do i modified it on my case when the derivative is second order ? thanks 


#2
May2409, 06:57 AM

P: 2

I try to do the split step fourier method (SSFM)



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