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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:
  • Reply-to: boxing at auth.gr
  • 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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