Moving Breather and Standing Kink
> time_0:=time():
> Title:=`Moving Breather and Standing Kink`:
> m:=2: # the total number of basic elements
> v[2,1]:=1: v[2,2]:=0.4: v[2,3]:=0.154: v[2,4]:=0: # Breather
> T:=2*Pi/(v[2,3]*sqrt(1-v[2,2]^2)):
> L:=T*abs(v[2,2]):
> v[1,1]:=1: v[1,2]:=0: v[1,3]:=0: v[1,4]:=L: # Kink
> B_p:=SGe_parameters(m,v):
> N:=B_p[0,0]; # the number of solitons
> Soliton:=(x,t) -> SGe_backlund(x,t,N,B_p);
> Nt:=35: Nx:=25:
> L0:=0.15*L: L1:=1.85*L:
> T0:=0: T1:=2*T:
> st:=time():
> A:=SGe_matrix(Soliton,L0,L1,T0,T1,Nx,Nt):
> matrixplot(A,axes=frame,labels=[t,x,``]);
> CPU_running_time:=time()-st;
> st:=time():
> Nt:=50: Nx:=35:
> SGe_animate(Soliton,Title,L0,L1,T0,T1,Nx,Nt);
> CPU_running_time:=time()-st;
> st:=time():
> Na:=10:
> SGe_ribbon(Soliton,Title,L0,L1,T0,T1,Nx,Nt,Na);
> CPU_running_time:=time()-st;
> st:=time():
> Np:=15:
> SGe_pendulum(Soliton,Title,L0,L1,T0,T1,Nx,Nt,Np);
> CPU_running_time:=time()-st;
> Total_CPU_running_time_(in_seconds):=time()-time_0;