{ Fill in the following sections (removing comment marks ! if necessary), and delete those that are unused.} TITLE '' { the problem identification } COORDINATES cartesian1 { coordinate system, 1D,2D,3D, etc } VARIABLES { system variables } u,v select ! painted { make color-filled contour plots } ! NODELIMIT =100 errlim=5e-3 !ngrid=100 !regrid=off DEFINITIONS { parameter definitions } A = 0.2 L = 6 eps = 0.05 ! transfer('x_5.dat', v00, u00) INITIAL VALUES v = 2.5/cosh(x/eps/2)^2 u = 1 !v=v00 !u=u00 EQUATIONS { PDE's, one for each variable } u: dt(v)=eps^2*dxx(v)-v+v^2*u*A v: 0.1*dt(u) = dxx(u)+1-v^2*u BOUNDARIES { The domain definition } region 1 start(-L) point natural(u) = 0 point natural(v)=0 line to (L) TIME 0 TO 4000 monitors for cycle=1 elevation(v,u) from (-L) to (L) ! elevation(v) from (-L) to (L) ! elevation(v) from (-0.8) to (0.8) !elevation(u) from (-0.8) to (0.8) plots for t = 0 by 1000 to 4000 transfer(v,u) file="x.dat" end