       Mathematica problem

• To: mathgroup at smc.vnet.net
• Subject: [mg33538] Mathematica problem
• From: george kazasis <boxing at auth.gr>
• Date: Fri, 29 Mar 2002 06:13:32 -0500 (EST)
• Organization:
• Sender: owner-wri-mathgroup at wolfram.com

```     Hi.I am Georgios Kazasis from Greece again.Maybe this is the
form of the problem that you asked:

f(x)=e^(0.625*x)/(1+e^(1.25*x))
1    D[y4[x,t],x]== -D[y1[x,t],t]-f(x)*y2[x,t]
2    D[y3[x,t],x]== D[y2[x,t],t]-f(x)*y1[x,t]
3    D[y2[x,t],x]== D[y3[x,t],t]
4    D[y1[x,t],x]== -D[y4[x,t],t]
5    y1[x,t]*y3[x,t]== -y2[x,t]*y4[x,t]

This is my problem in Mathematica code.It Describes the
coupling of axionic field to electromagnetic field.The
function f(x) describes the axionic field and the system of
Partial differential equations of first order of
Ey=y1[x,t],Ez=y2[x,t],By[x,t]=y3[x,t],Bz=y4[x,t](where
Ey,Ez,By,Bz are the intensities of electric and magnetic field
respectively, in y  and z axes )with respect to length x and
time t,represents the "equation of motion" of the total
field.The fifth equation demands the orthogonality of E,B.What
Kind of boundary conditions should I set,to have a unique
solution to this problem?

```

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