- 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)
- 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?